Long Division (Easy) - By tecmath
Transcript
00:0-1 | good day and welcome to the Tech Math channel . | |
00:02 | What we're going to have to look at today is | |
00:04 | the joy of many , many people they really are | |
00:07 | . A lot of people seem to struggle with this | |
00:09 | particular concept and that's why I'm talking with the head | |
00:12 | on . We're gonna be looking at the joy . | |
00:14 | That is long division . Okay , personally , I'm | |
00:18 | a bit more attention , like a lot of people | |
00:20 | to grab the calculator these days , but really it's | |
00:22 | a great skill to still be able to have . | |
00:24 | I think it's , I still like to actually know | |
00:26 | how things work and that sort of deal . So | |
00:28 | , and some people , they still have to go | |
00:29 | to school and learn how this , that , you | |
00:32 | know , the long division way . So this video | |
00:35 | is really , really , I guess dedicated to you | |
00:38 | guys . So long division now . What long division | |
00:42 | is , where what we're doing is we get a | |
00:44 | great question like this were usually we're getting double two | |
00:47 | digit numbers dividing into another number . So we get | |
00:51 | this sort of thing . The this number here divided | |
00:55 | by 780 divided by 12 . Look at that . | |
00:59 | I didn't leave myself any space at all . There | |
01:01 | we go and make some for myself . So how | |
01:03 | do you go about doing these ? So I'll start | |
01:06 | off on how you do this and there there's I'm | |
01:10 | sort of procrastinating . I'll let you into it okay | |
01:14 | with these . You treat them pretty much like you | |
01:16 | treat a lot of other divisions , but there's a | |
01:18 | couple of slight little differences . So I think the | |
01:21 | easiest way is to launch into them . So first | |
01:24 | off , how many times does 12 go into seven | |
01:26 | ? While it doesn't I'll leave a blank that I | |
01:29 | can put a zero there . So I carry this | |
01:31 | seven across and I get 78 . How many times | |
01:34 | ? It's 12 . Going to 78 ? Yeah , | |
01:36 | you should be . Hopefully . All right with the | |
01:38 | 12 times table . If you're not there you go | |
01:41 | . But 6:12-72 . So Yeah . Through six . | |
01:47 | Okay . And this six left over . Okay . | |
01:52 | Yeah . What I do and this is where long | |
01:54 | division's a little bit funny Is you put the 70 | |
02:00 | two down here And you would usually take it away | |
02:05 | 78 , take away 72 And you get this and | |
02:08 | through 60 . Okay . It's the same answer I | |
02:10 | got here . Okay . Often all the subtraction thing | |
02:13 | is here is it's working at what you now have | |
02:15 | left with a remainder . Okay . It's exactly like | |
02:17 | every other bit of division you've ever done . We've | |
02:20 | used these sort of things they just now instead of | |
02:23 | because the numbers get bigger , they don't try to | |
02:25 | ride or everything in here . They start trying to | |
02:27 | write down here instead . So how many times 12 | |
02:31 | , it goes in five times . All right now | |
02:35 | . That was a pretty easy example for that . | |
02:37 | But I'm going to get into a nice harder one | |
02:39 | now . Okay , and say something like this . | |
02:43 | So I get something Where I have 19 And I'm | |
02:48 | going to be dividing that into 20,418 . I'll caution | |
02:54 | you by the way , I'm not going to this | |
02:57 | video completely blind . I have done this question already | |
03:00 | . There is a remainder with this and I'll show | |
03:02 | you a couple of things that you might end up | |
03:04 | doing with the remainder . Okay , so first off | |
03:07 | 19 into 20 for now , you're going to see | |
03:11 | I'm straight away , sort of skipping the Taino . | |
03:12 | The 19 is not going to go in there , | |
03:13 | so I'm not bothering with it 1920 for now it | |
03:16 | goes one time . Okay , so what I do | |
03:21 | here is I Put the 19 down here And I'm | |
03:26 | going to take it away from the 24 . So | |
03:28 | 19 take away 24 is five and then I moved | |
03:32 | this stuff down . Okay . The 18 just comes | |
03:37 | down there . All right . So I'm left with | |
03:39 | 518 . Okay . It's another way I could have | |
03:42 | actually put the fire up . Er Okay but it | |
03:45 | begins to look a little bit more squashed . Okay | |
03:47 | so that's all long division is it's basically making and | |
03:50 | giving you a little bit more space . All right | |
03:54 | so 19 now into 518 . Yeah it's a horrible | |
03:59 | thing . Okay trying to get your 19 times table | |
04:02 | for me . The little trick is 19 is very | |
04:04 | close to 20 . So how many times 20 Going | |
04:07 | to 51 ? Well around about twice . Okay . | |
04:11 | So no I mean most likely the only around about | |
04:13 | twice . It's not a hard and fast rule . | |
04:15 | And the next question I get well we're get a | |
04:17 | bit more complicated so I'll run through what they do | |
04:19 | then . So it goes roughly twice and 2019 . | |
04:27 | Give me the answer of 2 8 - 9 18 | |
04:33 | . Okay so And it carried the 112 is too | |
04:38 | so 38 . Okay . Now if I take 38 | |
04:44 | from my question here I'm now going to get the | |
04:48 | answer of okay remember we're not dealing with this one | |
04:55 | here . Okay want Okay well we can't do that | |
04:58 | so I had to borrow one from here . This | |
05:01 | is going to put a one there . So 11 | |
05:02 | take eight is 3 four Take 3 is one And | |
05:06 | this eight now Moves Down 138 . Okay Now again | |
05:15 | roughly how many 20's do we get in this one | |
05:18 | here ? Well , roughly ? About seven . Okay | |
05:22 | , that's 77 27 to 14 . And so 7 | |
05:27 | 20 . 140 which is above this because 19 I | |
05:31 | think we should actually be able to cover it with | |
05:33 | seven of them . So seven times 98 Put the | |
05:36 | seven up here . seven times 197 , carry the | |
05:41 | 617 and seven plus six is 13 . So 138 | |
05:47 | take away 33 run out of room . The answer | |
05:51 | is five . So what do I do with this | |
05:52 | five ? I'm not gonna be able to sit in | |
05:53 | 19 into it . Now now there's a couple of | |
05:56 | things some teachers are going to get you to write | |
05:58 | down as remain to five and you just put down | |
06:00 | a little up here , you might put down remain | |
06:02 | to five personally , I'm a bit of a fan | |
06:05 | of actually doing it a little bit differently , I'm | |
06:07 | a bit of a fan of actually getting the five | |
06:09 | And you put that over as a fraction over 19 | |
06:13 | . So the answer is this number entirely ? 127 | |
06:18 | and 5/19 . Yeah , I know it's a very | |
06:22 | , very messy way of doing something which feels like | |
06:25 | it should be a lot easier . Okay , to | |
06:28 | one further example here , okay , and I want | |
06:34 | to with this , I want to actually Give you | |
06:38 | a little hint of what I do and I think | |
06:39 | I might even have to zoom out to do this | |
06:41 | . Okay , I'll give myself a bit more space | |
06:43 | so , so I'll give you this question here . | |
06:45 | This is going to be some horrendous looking question here | |
06:48 | . 20 , for how many times does it go | |
06:52 | into ? 1845 . Look , I see that it | |
07:00 | doesn't really overly make me that happy either , but | |
07:03 | I'll show you a little trick what I do and | |
07:05 | this is what I actually did when I was working | |
07:06 | at the answer to this . Previously I started actually | |
07:10 | going through because I start going to go , how | |
07:12 | many ? 24 ? I'm thinking straight away , this | |
07:15 | is going to be messy . So what I do | |
07:17 | is I would go through and this can be , | |
07:19 | take a little bit of time , but Once I | |
07:22 | was 24 , This is one times 24 , two | |
07:27 | times 24 is 48 three times 24 . Well there's | |
07:35 | one plus two equals three . 4-plus 8 is to | |
07:39 | carry the one four plus . That is six plus | |
07:44 | , that is 72 uh huh With a 4 , | |
07:49 | 4 times 24 and is going up by 20 for | |
07:51 | each time . Okay , the answer is 96 5 | |
07:54 | times 24 is going to be 126 times 20 for | |
08:00 | 1 40 for seven times 20 for 1 68 . | |
08:05 | 8 times 24 . Okay , so 1 70 to | |
08:09 | 1 92 and nine times 24 Is going to be | |
08:13 | 24 more , which is going to be a six | |
08:15 | there 23 236 . Hopefully haven't made a little boo | |
08:21 | there . 1 . 44 . 68 . 1 92 | |
08:26 | . 2 36 . I think I've got a little | |
08:29 | bit too high here . In fact , I have | |
08:31 | . Okay , there you go . Even even math | |
08:34 | nerds make mistakes , right ? Sometimes . All right | |
08:37 | . So First off , where do we fall into | |
08:41 | here ? Okay , so 20 for you can't go | |
08:44 | into one . It can't go into 18 . So | |
08:46 | how many times is it going to ? 184 ? | |
08:49 | You're going to see ? It falls in at this | |
08:52 | particular point ? It goes in seven times . Okay | |
08:56 | , so seven times 24 is 168 and I'm going | |
09:01 | to take this away . All right . 168 and | |
09:04 | 68 notice this number here is going to come down | |
09:07 | and get carried down there . So I'm gonna put | |
09:09 | the five straight there . Uh and four take a | |
09:13 | look . Can't do . So I'm going to grab | |
09:14 | one from here . 14 take ages . 67 take | |
09:18 | six is 11 take one is nothing . So I'll | |
09:22 | leave that alone . Okay ? So 165 . Now | |
09:26 | , divided by 24 . Whether we follow until we | |
09:29 | fall into this partner Case , We Got six . | |
09:33 | Okay . All right . So Six times 24 is | |
09:39 | 144 . 44 . So five take four is 1684 | |
09:46 | is two and one take one is nothing . So | |
09:48 | we've got 21 now because 21 is less than 24 | |
09:51 | we can't divide this any further . Now . However | |
09:55 | what we might write this again we can remain at | |
09:57 | 21 but I'm a big fan of writing 21/24 . | |
10:02 | Okay . But obviously if you're doing maths at school | |
10:05 | go with whatever your maths teacher prefers . But I | |
10:08 | do prefer this . So that's your answer there , | |
10:10 | 76 and 21 remainder or 21/24 I think . Really | |
10:16 | I really do recommend it drawing this sort of thing | |
10:18 | up . Okay . Anyway I hope you do really | |
10:22 | , really well with those . We'll see next time | |
00:0-1 | . |
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Long Division (Easy) is a free educational video by tecmath.
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