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# Dividing by 2-digits: 6250÷25

## Video transcript

welcome to the presentation on level 4 division so what makes level 4 division harder than level 3 division is instead of having a 1 digit number being divided into a multi digit number we're not going to have a two digit number divided into a multi digit number so let's get started with some practice problems so let's start with what I would say is a relatively straightforward example the level four problems you'll see are actually a little harder than this but let's say I had 25 goes into 6250 so the best way to think about this is you say ok I have 25 does 25 go into 6 well no clearly 6 is smaller than 25 so 25 does not go into 6 so then ask yourself well then if 25 doesn't go into 6 does 25 go into 62 well sure 62 is larger than 25 so 25 will go into 62 well let's think about it 25 times 1 is 25 25 times 2 is 50 so that so it goes into 62 at least two times and 25 times 3 is 75 so that's too much so 25 goes into 62 two times and there's really no mechanical way to go about figuring this out you have to kind of think about okay how many times do I think 25 will go into 62 and sometimes you get it wrong sometimes you'll put a number here and say I if I didn't know I would have put a 3 up here and then I would have said 3 times 25 and I got in a 75 here and then that would have been too large of a number so I would have gone back and changed it to a 2 likewise if I had done a 1 and I did 1 times 25 when I subtracted when I subtracted it out the difference out of ground would be larger than 25 and then I would know that ok 1 is too small I have to increase it to 2 I hope I didn't confuse you too much I just want you to know that you shouldn't get nervous if you're like boy you know every time I go through the step it's kind of like I kind of have to guess what the number is as opposed to kind of a method and that's true everyone has to do that so anyway so 25 goes into 62 2 times 9 let's multiply 2 times 25 well 2 times 5 is 10 and then two times two plus one is five and we know that 25 times 2 is 50 anyway then we subtract 2 minus 0 is 2 6 minus 5 is 1 and now we bring down the 5 so the rest of the mechanics are pretty much just like a level-3 division problem now we ask ourselves how many times does 25 go into 125 well the way I think about it is 25 it goes into 100 about 4 times so it'll go into 125 one more time it goes into it five times if you weren't sure you could try 4 and then you would see that you would have too much leftover or if you tried 6 you would see that that you would actually get 6 times 25 is a lot number larger than 125 so you you don't you can't use 6 so if we say 25 goes into 125 five times then we just multiply 5 times 5 is 25 5 times 2 is 10 plus 2 125 so it goes in exact so 125 minus 125 is clearly zero then we bring down this 0 and the 25 goes into 0 zero times 0 times 25 is 0 remainder is zero so we see that 25 goes into 600 6250 exactly 250 times let's do another problem let's say I had um let me pick an interesting number let's say a head 15 and I want to know how many times it goes into 2,265 well we just do the same thing we did before we say okay does 15 go into 2 No so does 15 go into 22 sure 15 goes into 22 one time notice we wrote the one above the 22 if it got had gone into 2 we would have written the 1 here but 15 goes into 22 one time 1 times 15 is 15 right 22 minus 15 we could do the whole carrying thing 112 twit 12 minus 5 is 7 1 minus 1 is 0 42 minus 15 is 7 bring down the 6 okay now how many times does 15 go into 76 once again there isn't a real easy mechanical way to do it you can kind of eyeball it and estimate well 15 times 2 is 30 15 times 4 is 60 times 5 is 75 that's pretty close so let's say 15 goes into 76 5 times so 5 times 5 once again I already figured out in my head but I'll just do it again and 5 times 1 is 5 plus 7 oh sorry not jumps 5 is 25 5 times 5 is 25 then 5 times 1 is 5 plus 2 is 7 now we just subtract 6 minus 76 minus 75 is clearly 1 bring down that 5 well 15 goes into 15 exactly 1 time 1 times 15 is 15 subtracted we get a remainder of 0 so 15 goes into 2,265 exactly 151 times so just think about what we're doing here and and why it it's a little bit harder than when you have a one digit number here is that you have to kind of think about well how many times is this two-digit number go into this larger number and since you don't know two digit multiplication tables very few people do you have to do a little bit of guesswork sometimes you can look at this first digit and look at the first digit here and make an estimate but sometimes it's trial and error you'll try it when you multiply it out you might get it wrong on the first try let's do another problem and actually I'm going to pick numbers at random so it might not have an easy remainder but I think you'll get the point I won't teach you decimals now so I'll just leave the remainder if there is one let's say I had six d7 going into 500 or 5,000 978 so I just picked these numbers randomly out of my head so I'll show you that I also sometimes have to do a little bit of guesswork to figure out how many times one of these two-digit numbers go into a larger number so 67 goes into five zero times sixty seven goes into 59 zero times sixty seven goes into 597 so what we have to kind of let's see 67 is almost 70 and 597 is almost 600 so if it was 770 goes into 70 times nine is 630 right because 7 times 9 is 63 so I'm going to just eyeball approximate I'm going to say that it goes into it eight times I might be wrong and you can always check but when we're going to actually check into step essentially eight times seven well that's 56 and then 8 times 6 is 48 plus 2 is 53 53 7 minus 6 is 1 9 minus 3 is 6 and 5 minus 5 is 0 61 so good I got it right because if I got a number here that was larger than 60 was that that was 67 or larger then that means that this number up here wasn't large enough but here I got a number that's positive because 536 is less than 597 and it's less than 67 so I did that step right so now we bring down this 8 now this one might be a little bit trickier this time once again we have almost 70 and here we have almost 630 so maybe it will go into it nine times well let's give it a try and see if it does 9 times 9 times 7 is 63 9 times 6 is 54 or plus six is sixty good so it did actually go into it nine times because 603 is less than 618 8 minus 3 is 5 1 minus 0 is 1 and 6 minus 6 is 0 so we have now that we have a remainder of 15 which is smaller than 67 so I'm not going to teach you decimals right now so we can just leave that remainder so what we could say is that 67 goes into five thousand nine hundred seventy-eight eighty nine times and when it goes into it eighty nine times you're left with a remainder of 15 hopefully that you are you're ready now to try some level 4 division problems have fun