Long Division trick 4 - learn how to do long division easily and quickly - Free Educational videos for Students in K-12

Long Division trick 4 - learn how to do long division easily and quickly - By tecmath

Transcript


00:00	Hello and welcome to the Tech Math channel . What
00:02	we're going to be having a look at today's video
00:04	. We're gonna be looking at ways of doing long
00:05	division . These are numbers above 10 . Um ,
00:08	we're gonna be able to look at some rather big
00:11	numbers today and this is actually the fourth part of
00:14	a four part video series I've done on a different
00:16	way of working at long division . This is an
00:18	easier way of working at long division . Okay ,
00:21	So the links to the previous videos are up there
00:24	. Okay . There we go . But if you
00:28	reckon your game , you might want even try to
00:29	go along with these . So What we're gonna be
00:32	having a look at is I'm going to just launch
00:34	into , we're going to start looking at same numbers
00:37	where we're trying to say something like 42 and see
00:40	how many times that goes into something a bit easy
00:42	at the moment . 5234 . Now in previous videos
00:49	, what we've been doing is we've been looking at
00:52	the number which is a tens number which is closest
00:55	to this attends number close to this one is 40
00:57	. So we get the four we put that there
01:00	. But to get From 42 to 40 we have
01:04	to subtract two . Yeah . This is a little
01:07	bit different from what's happened in previous videos in mind
01:09	where it's always been numbers which are quite conveniently made
01:13	a plus two or a plus three . They've always
01:14	been numbers were going up with this is a multiply
01:20	. Okay . And we just treat it like a
01:22	negative number . All right . So , these numbers
01:25	for you guys and watch the previous videos , you're
01:28	going to realize the trick with a lot of this
01:30	is going to be using this multiply . And we
01:32	can also use previous answers that we got from the
01:34	question . From our other part of the question to
01:38	work out our answers . Okay , So let's go
01:40	through these . All right , So for goes into
01:44	five . How many times it goes in once ?
01:48	All right , a nice easy one , and it
01:49	has a one remainder . Okay ? So what we're
01:52	left with now is we've got 12 and 12 .
01:57	What we do to this 12 is we add to
02:00	it this number times a multiplier , So one plus
02:04	one times minus 21 times minus two is minus two
02:07	. So , what we're gonna do is adding on
02:08	minus two , which is the same as taking away
02:10	too . All right , 12 - 8 - 10
02:15	. 10 divided by four . It's true . Remainder
02:20	to Okay , So what we've got now we've got
02:24	23 And what are we going to be doing this
02:28	, 23 , we're going to be getting this to
02:32	this minus two to minus two , which is minus
02:34	four . We're taking that off , We get the
02:36	answer of 19 19 , divided by four , equals
02:44	that much . Four with a three remainder . This
02:48	leaves us last of all with uh remainder number ,
02:53	Which is 34 , And we're using this number here
02:58	four times this multiplier , So four times -2 is
03:02	-34 . Take gives us the answer of 26 .
03:09	So we have a reminder of 26 and that's an
03:13	example of when we start to get this negative multiply
03:17	. So all we're doing compared to the other ones
03:19	is we're taking things away . Pretty cool . Right
03:22	. What about we get on to another one of
03:25	these ? All right . And the ideas for these
03:31	are very much the same . So if you haven't
03:34	seen my other videos and you're finding a little bit
03:36	hard , you might want to just go and have
03:38	a look at those particular videos and I think you're
03:40	really , really appreciate those . So , let's get
03:43	to something a bit harder now . Let's get a
03:45	big number . Let's put 62 and we're going to
03:47	be dividing that into something huge . Let's say 235,813
03:58	. All right , so to get to 60 we
04:02	have to take to this is our multiplier . Okay
04:10	. All right , let's start working this out .
04:11	Six goes into two . Well , it doesn't go
04:13	into 26 goes into 23 3 times and it has
04:17	a leftover of five has a five remainder . So
04:20	I'm going to get 55 here . And what we're
04:22	going to do is three times minus two is minus
04:28	6 . 55 minus six equals 49 So 49 divided
04:34	by six equals eight with a remainder Of one .
04:38	Alright , loses with this next number which is 18
04:41	. What are we gonna do with this 18 ?
04:43	Well eight times -2 is minus 16 . So we
04:49	can take that up off so Take 16 equals two
04:55	. So two divided by six . We cannot do
04:58	we have to carry that number across . All right
05:02	, okay . So we're now left with 21 21
05:05	. And what do we do with this ? 21
05:07	10 times 60 So we can't really do much .
05:10	So 21 divided by six equals three and there is
05:15	three left over . Okay cool . So this leaves
05:18	us last of all with our remainder number . Okay
05:22	. Almost work this out . I know it seems
05:24	sometimes too easy this okay there's a couple of tricks
05:27	here and there . So 33 and what we're going
05:31	to be doing is we're going to be adding to
05:33	that three times minus two , which is minus six
05:35	. So we're taking away 63 takes 33 take six
05:38	equals 27 . We have a remainder of 27 .
05:43	Pretty cool . Right ? There's our answer there .
05:45	All right . I'm going to go through one last
05:47	one and this last one has a little trick that
05:49	if you might have gone off on your own now
05:51	. I thought I've got the hang of what he's
05:52	doing and tried one , you might have come up
05:54	against history . You know , this can happen .
05:57	So what we'll do is we'll put up this very
06:00	last type of question you might get , Which is
06:03	saying when we get a little trick like this one
06:05	. Okay , so say we're trying to work out
06:07	how many times 42 now goes into 37418 . Now
06:15	this you're going to see a little problem . So
06:18	there's a little trick is not a problem with just
06:21	that little thing you have to do . Okay ,
06:23	so the number closest to this isn't 40 . All
06:26	right , and that's a -2 . Once again ,
06:29	I know I'm being a bit biased towards these ,
06:31	there are a lot easier to explain . So so
06:35	this again is our multiply . Okay . All right
06:40	now four goes into three , it doesn't go into
06:43	three , it goes in zero many times and so
06:45	we have to carry the three across 37 . Wherefore
06:48	goes into that ? Well nine times . Okay ,
06:52	pretty good with that so far and there's one left
06:54	over . So we get this 14 . And what
06:58	we're gonna do is we're going to add to this
07:00	nine times minus two , which is minus 18 .
07:03	So we go 14 takeaway 18 . Oh we've got
07:07	a problem , haven't we ? Because this is going
07:09	to actually give us a minus number . It's really
07:13	, really difficult , isn't it ? There's a little
07:14	trick you have to do when you get this sort
07:16	of thing and what this is is you have to
07:19	go through and Borrow one from the previous answer .
07:23	Okay , I'll show you that this right now .
07:27	Okay , so I'll get rid of that . So
07:31	rather than having 14 here , what we're gonna actually
07:34	do is we're just going to go back and reconsider
07:37	this particular number here . Okay , so 37 Divided
07:41	by four . Okay , there's a couple of ways
07:44	we can look at the answer here , we can
07:46	look at this answer is being okay . So what's
07:49	the answer we got was nine remainder one . Or
07:53	we could also call it eight with a remainder of
07:55	five . 432 Plus five is 37 . This is
08:01	the one we're going to be using . I'm going
08:02	to steal . Yes I tell you . And we're
08:07	actually going to get a remainder of five . So
08:08	all we're doing is taking this number down one .
08:10	We're going to add this number to this one here
08:14	. 54 . Okay . So now what we do
08:16	is we're going to work with these numbers . Okay
08:19	, So it's a little bit of a trickier .
08:21	Okay . You have to steal one but it's not
08:23	one you're stealing . It's actually for in this case
08:26	. Okay . This is a little trick . That's
08:28	probably the hardest thing for people to get used to
08:30	with this . Okay . So if you think about
08:32	it in terms of remain as like I just put
08:34	down then it might be a little bit easier .
08:36	So 54 now and what we're going to be doing
08:40	is we're going to be taking away not nine times
08:44	2 , it's now eight times Okay , So we're
08:49	going to be taking away 16 And the answer we're
08:53	going to get through that is 50 for takeaway 16
08:57	Equals . 38 . divided by four equals nine with
09:05	a remainder of two . Okay . Pretty cool .
09:09	Right , let's get on to the next one .
09:10	So we have 21 , And what we're going to
09:15	be doing is nine Times -2 is -8 . And
09:19	we're going to take away 18 . We get the
09:22	answer of three , so three divided by four ,
09:25	we get a zero , Okay ? And we carry
09:29	that three along . So last of all now we
09:32	just work out that remained a number , so we've
09:34	got the answer of 38 and We actually don't do
09:39	anything to zero times -20 . So we leave it
09:42	at that , so we have a remainder . 38
09:47	. Pretty cool , Right ? That's our answer .
09:49	So that's what's what to do when you get that
09:50	little thing with that little trick there . That's the
09:53	way to do it anyway . Thanks . See you
09:55	next time .

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