Long Division trick - Fast calculation! - Free Educational videos for Students in K-12

Long Division trick - Fast calculation! - By tecmath

Transcript


00:00	Hey , welcome to the Tech Math channel . What
00:03	we're gonna be looking at today is it's an easier
00:05	way of doing long division and we're going to launch
00:06	straight into it . It's probably gonna take a couple
00:09	of videos to get through . I'm going to sort
00:11	of deal with it in sections are going to deal
00:12	with obviously getting into easy stuff first and then more
00:16	and more difficult as we go along . So first
00:19	off , I'm just going to launch Australians , what
00:20	I mean by these and it's this sort of question
00:23	here , which we're going to be having to look
00:24	at . So how many times it's 19 go into
00:28	42,016 . So there's a couple of things that I'm
00:34	going to draw your attention to just before we start
00:36	this particular question , because once you get the idea
00:39	of these , the rest of this and how to
00:41	divide by , there's certain certain numbers here are big
00:44	numbers bigger than 10 becomes a whole lot easier once
00:47	you get just a few little tricks , because this
00:49	is just a little bit of a different way of
00:52	doing normal division . Okay , so first off ,
00:55	the first thing you'll probably notice with this is it
00:57	90 ? I'm gonna rub that 19 out and I'm
01:01	going to Put it over here 19 . Because what
01:06	we're actually looking at is a number which comes up
01:08	next after 19 , which is 20 . Okay ,
01:12	so the nearest tens number to this particular number here
01:16	is 20 . How much do we have to get
01:18	to actually do that is we have to add one
01:22	number on some good two things , which is really
01:25	, really important to get here . First off ,
01:26	we actually dividing by the number two , not 19
01:30	. The other thing is this idea of this number
01:33	here , this this is this thing called we're going
01:35	to call it a multiplier . Okay . And this
01:38	thing when we're dealing with Number 19 , some multiply
01:43	11 time , the number it just gives us the
01:45	number we've already got . But this scene becomes more
01:48	important , especially we start dividing by different sorts of
01:51	numbers 1817 . We start to get different multipliers and
01:54	they start to do slightly different things . Don't get
01:56	too confused yet . Okay , so I'm just going
01:58	to start off on how to do this . Now
02:00	. This is a bit of a weird type of
02:01	division because the actual answer we're getting helps get further
02:06	parts of the answer and you'll see what I mean
02:08	by this . So first off this part here ,
02:11	we're gonna start off here and what we're gonna be
02:13	looking at is this particular one . What we're going
02:15	to go is like normal division four divided by two
02:19	. Okay , What's four divided by 2 ? That's
02:22	too the remainder there . Nice and easy . Okay
02:26	so let's get to the next party . Okay ,
02:29	so this bit here we've got to now as I
02:35	said before we're going to use part of our answer
02:37	, we've already got to get our next part of
02:40	the answer . Okay , So this is where we
02:41	start to mean when we start to use this here
02:44	, what we do here is we actually add this
02:46	to to this multiplier to the multiply times this number
02:51	here , I'll show you what I mean . So
02:53	this is like two . We're going to this we're
02:55	going to add this number here is 22 plus this
02:59	number here times to multiply the multiplies one , so
03:03	we're going to add two plus two equals four and
03:07	this is the number we're going to see how many
03:09	times to goes into it . Bear with us with
03:11	this it does take a bit of getting used to
03:12	but once you once you get used to it .
03:14	So four divided by two equals two . Alright .
03:20	The next part of our answer . Is it too
03:22	? Mhm . All right . Nothing to be carried
03:26	over . We'll get to this next bit of the
03:28	answer again . So we've got a zero now this
03:32	zero we have to add something to its review .
03:35	Remember ? It's this number we got previously . There's
03:37	two and we're going to multiply this to buy the
03:39	multiply . So by 1 to 1 is too So
03:43	nothing plus two equals two . two divided by two
03:47	. Yeah , because one that's the next part of
03:53	our answer . Okay . We're going to get up
03:57	to this this part . Okay . So we'll get
04:00	the one here . Yeah . So what do we
04:04	do if you remember one and we're going to add
04:06	to that . This one here times multiplies at one
04:11	time . One time one is one plus one equals
04:14	two . two divided by the two here equals one
04:21	. That's that part of our answer . So this
04:23	is our answer is so far . 2211 . Now
04:28	this leads us to the very last number . Last
04:30	number here , I'm going to draw a bit of
04:32	a line here because this is actually our remainder that
04:36	we get there . Okay . So what are we
04:39	going to give you a reminder ? Well , so
04:42	the remainder here , we got six . And what
04:45	do we need to do to that ? 6 ?
04:47	Well we need to add this number here . The
04:50	one so 6 plus one is seven . This is
04:53	a reminder remainder . Seven . That's our answer .
04:58	Pretty cool . Right . Really ? I recommend trying
05:01	to go through that again . Go through it a
05:03	bit slowly and that sort of deal but it works
05:06	okay . You're just going to keep using that previous
05:08	number . Okay . So I'm gonna give it another
05:10	go using 19 year . You know what I'm gonna
05:12	do in the next video ? I do I'm actually
05:13	going to start bearing up this number and showing you
05:16	what happened when we use different multipliers . But why
05:18	don't you get used to this ? And it doesn't
05:19	take very long because it's the same process again and
05:21	again , it's a really , really , really great
05:24	fast method of doing long division . So Let's get
05:29	on to this next question here . So say we'll
05:31	have a look at 19 again . How many times
05:32	it's 19 go into say even a bigger number now
05:38	. 28,104 . Okay , so again , I'll move
05:45	this 19 up here . Okay . And because what
05:49	I'm gonna do is If I add one to it
05:53	again , my multiply here , I'm going to end
05:56	up getting 20 . Okay ? But it's going to
05:58	be the two I'm going to be dividing into it
06:00	. This again is my multiply . Okay . I
06:08	think that's probably one of the big things again .
06:10	Which ones are multiplying ? This one's a little bit
06:13	harder than our previous one . So , let's start
06:15	out here . We start with this number here .
06:18	So too And we're dividing to say highlighted again .
06:22	We're dividing this number into it . The two So
06:25	two divided by two equals one . Good . Nice
06:30	, easy start . All right . All right ,
06:32	let's get on to the next one , rub that
06:35	out and we'll get on to this next number here
06:39	. Okay , this is an eight . So if
06:41	you remember , what do I do with this ?
06:42	8 ? Well , I'm going to add this number
06:45	on here . Okay ? And then times it by
06:47	the multiply . So one times multiply one times one
06:50	is one . And I'm gonna add it to a
06:53	so eight plus one equals nine . Now there's nine
06:58	I divide by 29 divided by two equals four .
07:01	We've got a remainder of one . So what do
07:05	I do with this one is going to take it
07:06	across the next part of the question ? Okay .
07:10	And I'm gonna put the four dad here . Mhm
07:14	. All right let's get on to this next bit
07:17	now . This remainder here you see here we will
07:19	be using that now . In fact we're going to
07:22	use it right now because it doesn't give us a
07:24	one because we have to move the one across have
07:25	actually been 11 11 . What we can do that
07:29	we're going to add four times the multiple which is
07:32	for so It's at four to it when we get
07:37	15 . All right . We get this 15 now
07:41	we divided by two And it equals seven remainder 1
07:46	. Okay So seven reminder what ? Mhm . All
07:52	right . We'll get on to this last number before
07:56	the remainder . Okay remember this last number here is
08:00	the remainder so we go here . 10 . Yeah
08:07	plus seven . Okay . seven times 1 is seven
08:10	Equals 17 . Okay , 17 . Now divided by
08:14	two equals all right , reminder of one The remainder
08:24	of one there . Okay . And now just leave
08:28	us to work out what the remainder is . Okay
08:30	? We've got most of our answer there were just
08:32	now left working at the remainder and that's very very
08:35	simple matter here . So we're getting a 14 .
08:38	Mhm . And we add this to it which with
08:42	times by the multiple which also has eight . So
08:44	14 plus eight equals 22 . Okay . Now what
08:50	you're going to notice about this 22 We have the
08:53	remainder of 22 but This remainder we have is bigger
08:57	than the number we're actually dividing by so we can
08:59	get a 19 out of this . If I take
09:00	19 out of it , Get the answer of three
09:04	, so we end up the remainder of three and
09:06	that 1 9 and I got out of it .
09:07	I'm just going to get rid of that here ,
09:10	I'm going to add it on here . Okay ,
09:11	so our answer should be 1479 remainder three . Okay
09:22	, so I hope you understand those the next video
09:24	we're going to be getting on with , they're gonna
09:25	be looking at this a little bit further . We're
09:27	going to start getting into the numbers where we just
09:29	we're going to change mainly these numbers around to start
09:32	with and then I'm going to get into the video
09:33	after is where we start to change the multipliers .
09:36	Okay ? But I think small steps when you start
09:38	doing these , so any questions let us know .
09:42	I hope you go find on those . I'll see
09:43	you next time .

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