Long Division Math Trick - how to do long division directly EASILY! - By tecmath
Transcript
| 00:0-1 | Good day . Welcome to the Tech Math channel . | |
| 00:01 | I'm josh in this video , we're going to be | |
| 00:02 | having a look at long division , but not the | |
| 00:04 | long division you're probably used to . This is a | |
| 00:07 | way of doing long division directly without all that messing | |
| 00:10 | around . It does have a little bit of a | |
| 00:11 | trick to , it does take probably one or two | |
| 00:14 | equations to get used to , but by the time | |
| 00:16 | you do , you'll be doing long division a whole | |
| 00:18 | lot faster . Then that way they teach you in | |
| 00:20 | school . So anyway , sit back and enjoy and | |
| 00:23 | I do recommend at the very least , stick through | |
| 00:25 | to the third equation . There is just a slight | |
| 00:27 | bit of change that you get with different types of | |
| 00:30 | questions , nothing major , but something to be aware | |
| 00:33 | of . So anyway , I want to start with | |
| 00:34 | the first question here . So say for instance , | |
| 00:37 | we wanted to get 16,000 283 and I wanted to | |
| 00:43 | divide that by 38 . So the way we're going | |
| 00:46 | to do this is we're going to draw this up | |
| 00:48 | as we withdraw . Standard division up , that is | |
| 00:50 | to say like this , we're going to go 16 | |
| 00:54 | 283 And instead of putting 38 here , instead , | |
| 00:59 | what I'm going to put is the closest tens number | |
| 01:02 | and just that first part of it , which is | |
| 01:05 | the four . Okay , so there we go straight | |
| 01:07 | away . A little bit of a variation there . | |
| 01:10 | And so what we do with this now is we're | |
| 01:12 | gonna look about how far We have moved to go | |
| 01:15 | from 38 through to the next tens number here that | |
| 01:18 | were 40 and you can see what we have to | |
| 01:20 | do is we would have to go up to I'm | |
| 01:23 | just going to keep that number there , We will | |
| 01:25 | be using that as we go along . So like | |
| 01:27 | I said , bear with a little bit of this | |
| 01:29 | , you'll be okay once you get used to the | |
| 01:30 | pattern . So okay , let's go through and start | |
| 01:33 | dividing here . So one divided by four . We | |
| 01:36 | can't do . So let's just move on to the | |
| 01:38 | next part 16 divided by 4 . 16 divided by | |
| 01:41 | four . Pretty simple . There's our first part of | |
| 01:44 | our answer is a four there . Zero remainder here | |
| 01:47 | . So now let's look at the next number here | |
| 01:49 | . Now . This is as you can see two | |
| 01:52 | divided by four . But we're going to use a | |
| 01:54 | bit of our answer here and this is where that | |
| 01:56 | little bit of a tweet comes in . What we're | |
| 01:58 | gonna do is we're going to multiply the last part | |
| 02:01 | of our answer this for here with this difference . | |
| 02:04 | So four times two is equal to eight and we're | |
| 02:07 | going to add that on . All right ? So | |
| 02:09 | two plus eight is equal to 10 and we're going | |
| 02:12 | to go 10 divided by four . So we're going | |
| 02:15 | to use this 10 and we're gonna divide before feeding | |
| 02:17 | them . You'll get used to this pretty quickly . | |
| 02:19 | So 10 divided by four and that's going to be | |
| 02:22 | equal to two With a two remainder because two times | |
| 02:25 | for his equal to eight . All right , so | |
| 02:28 | let's get on with this next part here . What | |
| 02:30 | do we have ? We have 28 and we're going | |
| 02:32 | to divide it by four but it's not gonna be | |
| 02:33 | 28 . Once again , two times two here is | |
| 02:38 | equal to 42 times positive to we're going to add | |
| 02:40 | four on . So we're not going to be going | |
| 02:42 | 28 divided by four . We're going to be going | |
| 02:44 | 32 divided by 4 . 32 divided by four . | |
| 02:47 | This is equal to eight . Once again with zero | |
| 02:51 | reminder , This last part here is going to be | |
| 02:54 | our remainder here . Okay , So let's just work | |
| 02:57 | out this final little part and get our remainder worked | |
| 03:00 | out . What do we have ? We can see | |
| 03:02 | that we have a three here , and on top | |
| 03:04 | of that we have eight multiplied by two , so | |
| 03:07 | I'm gonna add that on eight , multiplied by two | |
| 03:10 | is equal to 16 , A remainder is equal to | |
| 03:13 | three plus 16 , that's a remainder of 19 . | |
| 03:16 | And that's how you go about doing this division directly | |
| 03:19 | . Long division done directly . Just a couple of | |
| 03:22 | little twigs and I know they're not they're not great | |
| 03:24 | little twigs or not , and I know there's a | |
| 03:26 | little bit of a trick to getting them right , | |
| 03:28 | but can I tell you long division for anyone who's | |
| 03:31 | tried to do it is a real pain in the | |
| 03:32 | bum , right , So let's get on with the | |
| 03:34 | next question here . Like I said , stick through | |
| 03:37 | the next couple of questions and I reckon you'll start | |
| 03:39 | to be pretty right with this . Okay , for | |
| 03:41 | our second question , we're going to go 27,819 and | |
| 03:47 | we are going to divide this by 44 . All | |
| 03:50 | right , So what do we do first off , | |
| 03:53 | we're going to draw this up in one of these | |
| 03:55 | , and I'm going to put 27,819 . Right here | |
| 04:01 | , you're gonna see we don't need a huge amount | |
| 04:03 | of space that we do . Long division . Like | |
| 04:04 | this is nice and tidy . So to go from | |
| 04:07 | 44 up to the Down to the next time we | |
| 04:09 | go up to 50 , but I'm going to go | |
| 04:10 | down To 40 to do that , I would have | |
| 04:13 | to -4 . And so that's going to be the | |
| 04:15 | thing . I'm multiplying by four . So , you | |
| 04:17 | can probably guess that instead of adding on that amount | |
| 04:19 | we're gonna be subtracting . You'll see . All right | |
| 04:21 | . So this To go down to the next 10s | |
| 04:24 | would be 40 . So that's going to become a | |
| 04:26 | four here . So , let's start just doing this | |
| 04:28 | straight away . Two divided before we can't do Let's | |
| 04:31 | go 27 divided by 4 . 27 divided by four | |
| 04:35 | . This is going to be equal to 664 24 | |
| 04:39 | and there is three left over . All right , | |
| 04:41 | let's now go to the next part here . 38 | |
| 04:44 | . Okay . We're gonna start with this 38 year | |
| 04:46 | . And once again , we're going to multiply these | |
| 04:49 | two numbers here . So you're gonna see six times | |
| 04:52 | negative for we're gonna get negative 24 . We're gonna | |
| 04:55 | end up taking away So , when this multiply here | |
| 04:58 | is negative , we're gonna end up taking away When | |
| 05:00 | it's positive , we're adding it on . So 38 | |
| 05:03 | take away . 20 for this is equal 2 14 | |
| 05:07 | . All right . Pretty crazy . Right , 14 | |
| 05:09 | divided by four . That is equal to three with | |
| 05:13 | two left over . All right , cool . Now | |
| 05:16 | what do we have to get rid of this here | |
| 05:18 | ? We'll get on to the next one where we | |
| 05:19 | have 21 and we got three times minus four , | |
| 05:24 | so that's 12 . Okay , This is equal to | |
| 05:26 | 21 takeaway 12 . That's equal to 99 divided by | |
| 05:30 | four is equal to two with one left over . | |
| 05:34 | All right . Cool . All right . So , | |
| 05:36 | what we're left with now , this is going to | |
| 05:37 | be the very last digit here , which is going | |
| 05:39 | to be our remainder . So , let's do this | |
| 05:42 | . We have 19 . The one of the nine | |
| 05:44 | here . The And we are going to multiply two | |
| 05:49 | by -4 , so -8 . The answer is 11 | |
| 05:53 | . We have a remainder of 11 . Okay , | |
| 05:57 | so that's our answer . 632 with a remainder of | |
| 06:01 | 11 . Now , as I said , stick around | |
| 06:03 | to the third one , that's his next one . | |
| 06:04 | Because I'm going to show you just a little thing | |
| 06:07 | that you occasionally have to do and then I'm gonna | |
| 06:09 | put a few examples up for you to do yourself | |
| 06:13 | . Okay ? For the next example , as I | |
| 06:15 | told you , there's going to be a bit of | |
| 06:16 | a tweak on this one and then what I'm gonna | |
| 06:18 | do is give you a couple of your own to | |
| 06:20 | do . So what we're going to be doing is | |
| 06:22 | I'm going to get you working at the following 64,821 | |
| 06:29 | and this is going to be divided by 38 . | |
| 06:32 | I know I've been sticking to 40 a fair bit | |
| 06:35 | . I didn't realize that until afterwards , but Okay | |
| 06:37 | . Doesn't matter , same , same , same , | |
| 06:39 | same , same . So anyway , as you can | |
| 06:41 | see , I'm going to draw this up as the | |
| 06:44 | following . Okay . And he is going to go | |
| 06:45 | 64,821 and the closest tens number 2 38 here is | |
| 06:51 | going to be 40 . So to get to 40 | |
| 06:54 | I'd have to add to and this is going to | |
| 06:56 | be divided by four . Alright , Cruzi , let's | |
| 06:59 | get going . Six divided by four . Easy is | |
| 07:01 | one carry the two . The next thing we have | |
| 07:04 | is 24 2 that we have one times two . | |
| 07:09 | We're going to add that on . So that is | |
| 07:11 | going to be 26 26 divided by four . Well | |
| 07:15 | 64 to 24 . So it's gonna be a six | |
| 07:17 | and there is two left over . All right . | |
| 07:20 | Let's get on to the next one here . So | |
| 07:22 | , what we have is 28 We have six times | |
| 07:26 | two which is 12 , plus 12 is equal to | |
| 07:30 | 40 . 40 , divided by four is equal to | |
| 07:34 | 10 . 10 is a bit strange here . How | |
| 07:35 | do I write a 10 here ? Now ? Look | |
| 07:37 | what I do is for the minute I am just | |
| 07:40 | going to put a 10 like that and I'm going | |
| 07:42 | to get back to this . Okay ? You might | |
| 07:44 | want to when you do it , you might want | |
| 07:45 | to adjust it as you go or you might want | |
| 07:47 | to just it afterwards like I'm going to do right | |
| 07:49 | now . So let's just move on to the next | |
| 07:52 | part . Okay . So what do we have is | |
| 07:54 | we now have this part here which is to and | |
| 07:57 | what you have is we're going to add to this | |
| 07:59 | 10 times two . So that is equal to 20 | |
| 08:03 | which is equal to 20 to 22 divided by four | |
| 08:07 | is equal to 55 with a remainder of two . | |
| 08:12 | All right , so let's what we've got now , | |
| 08:14 | we have a 21 and two that we're going to | |
| 08:17 | be adding five times two , which is 10 . | |
| 08:21 | So we have a remainder of 31 . Not quite | |
| 08:24 | finished yet . Did tell you I was going to | |
| 08:26 | actually sort something else out here , which is this | |
| 08:28 | particular part here . All we do is we carry | |
| 08:31 | this one across here , so one plus six . | |
| 08:35 | This is going to become a seven here are answer | |
| 08:38 | 1,705 with a remainder of 31 . So that's the | |
| 08:44 | little variation that you get with that . So what | |
| 08:46 | about now ? I give you a couple of these | |
| 08:48 | to do yourself and I'll work through them with you | |
| 08:51 | . So , the one I'm going to get you | |
| 08:52 | to do to start out with is a nice easy | |
| 08:54 | 1 . 6000 and 30 for And that would be | |
| 08:58 | divided by 43 . All right . So , let's | |
| 09:01 | first off draw the division here , we have 6000 | |
| 09:05 | and 34 . And we're gonna be inviting that by | |
| 09:08 | 44 for 40 . Okay ? And to get to | |
| 09:11 | 40 we'd have to subtract three . All right , | |
| 09:15 | let's go six divided by four . That is equal | |
| 09:18 | to one with two left over . Okay . So | |
| 09:21 | we've got a 20 here and to that we're going | |
| 09:23 | to be taking what one times three is . So | |
| 09:26 | take away three . We have the answer of 17 | |
| 09:29 | 17 divided by four . That's going to be four | |
| 09:32 | with one left over . So now let's get to | |
| 09:35 | the next part of our answer . 13 . And | |
| 09:38 | to that we're going to be taken away for Times | |
| 09:42 | three So take away 12 which is equal to one | |
| 09:45 | . Okay So one divided by four . Well that's | |
| 09:48 | gonna be zero and we're gonna carry that one across | |
| 09:50 | and now we're going to get that last number which | |
| 09:53 | is going to give us the remainder . Okay ? | |
| 09:55 | So what do we have here ? We have 14 | |
| 09:57 | and we have zero times negative three . Well that's | |
| 10:00 | just gonna give us zero . So a remainder is | |
| 10:03 | going to be 14 . Hopefully that was pretty easy | |
| 10:06 | for you . What about one last one of these | |
| 10:08 | ? Alright . The very last one we're going to | |
| 10:10 | go 308,379 . And we're going to divide this by | |
| 10:16 | 92 . What about I give you the hardest one | |
| 10:19 | ? Right so now let's draw this up . Okay | |
| 10:22 | , pretty simple . 308,000 379 . And the nearest | |
| 10:28 | tens number is going to be 90 . So this | |
| 10:31 | here is going to be a nine to get to | |
| 10:32 | that 90 . We'd have to subtract two . Cool | |
| 10:36 | . Let's just start doing this . Okay ? We | |
| 10:37 | can't go three divided by nine , but we can | |
| 10:39 | go 30 divided by nine . If we carry that | |
| 10:41 | three across 30 divided by nine is equal to three | |
| 10:44 | with three left over 39 to 27 . So now | |
| 10:48 | what we have is we have this 38 here and | |
| 10:50 | we're gonna be taking away two times three . So | |
| 10:53 | take away six is equal to 32 . All right | |
| 10:57 | , so let's work this out . 32 divided by | |
| 10:59 | nine . Hey , that's also going to be three | |
| 11:01 | because 27 is the closest to and there is going | |
| 11:04 | to be a five that's now carried over . Let's | |
| 11:08 | now work this next particular one out . Okay we | |
| 11:10 | have 53 and to this we have three times minus | |
| 11:15 | two . So we're gonna be taking six which is | |
| 11:17 | equal to 47 47 divided by nine is equal to | |
| 11:22 | 559 45 . So it's going to be five where | |
| 11:26 | we have two left over , so that's going to | |
| 11:29 | be equal to 27 . Alright so let's now get | |
| 11:32 | this last little bit worked there . We have 27 | |
| 11:35 | And then what we have to do is we're going | |
| 11:38 | to go five Times -2 . So we're gonna take | |
| 11:41 | away 10 which is equal to 17 17 , divided | |
| 11:46 | by nine . That is equal to one and we | |
| 11:48 | have eight left over . So what's our remain are | |
| 11:51 | going to be well let's start this out , our | |
| 11:53 | remainder we have 89 . And from this we got | |
| 11:57 | 1 -2 , which is going to be -2 . | |
| 12:00 | So 89 -2 is 87 . We have a remainder | |
| 12:04 | of 87 and hopefully that's what you got . There | |
| 12:08 | you go . That's how you go about doing this | |
| 12:10 | particular long division directly . Like I said , there's | |
| 12:14 | a couple of little steps that start might seem a | |
| 12:16 | little bit strange , but this ends up being a | |
| 12:19 | whole lot easier than working it out the traditional way | |
| 12:22 | . It's one of those ones are fairly calm . | |
| 12:24 | Don't know why they just don't teach you like this | |
| 12:26 | . I think it's far far , far easier , | |
| 12:28 | But that's just the way it is . Anyway . | |
| 12:31 | If you like this video , give me a big | |
| 12:33 | thumbs up and put in the comments what you thought | |
| 12:34 | of this . Do you prefer a long division ? | |
| 12:36 | The normal way ? Do you prefer a long division | |
| 12:38 | ? This way you let me know anyway , thank | |
| 12:41 | you for watching big shout out to everybody . Who's | |
| 12:43 | my subscribers , whose my patrons and you guys stay | |
| 12:46 | ? Well , take care . See you later . |
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