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### Course: 8th grade foundations (Eureka Math/EngageNY) > Unit 7

Lesson 1: Topic A & B: Foundations- Dividing by 2-digits: 7182÷42
- Division by 2-digits
- Decimals & fractions on the number line
- Negative fractions on the number line
- Fraction to decimal: 11/25
- Converting fractions to decimals
- Variables, expressions, & equations
- Testing solutions to equations
- Testing solutions to equations
- Intro to equations

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# Dividing by 2-digits: 7182÷42

Dividing large numbers by two-digit numbers can be done step by step. Start by fitting the divisor into each part of the dividend, then subtract and bring down the next digit. Estimate the number of times the divisor fits into the new number, and repeat the process until there's no remainder. This method simplifies complex division problems. Created by Sal Khan.

## Want to join the conversation?

- Is it possible that you could divide a number with 2 digits by a number with 3?(213 votes)
- Yes, but you would end up with a decimal number as your quotient.(37 votes)

- kinda off topic but this popped into my mind. if i where to divide two of the same numbers by each other i would get 1 right? because division is multiplication flipped around correct?(25 votes)
- Yea pretty much you can also use that method later to get any number by itself(14 votes)

- Quick question, how would you divide a problem that has the divisor greater than the dividend? for example, 24 divided by 50(13 votes)
- 24÷50=24/50.

When the divisor is greater than the dividend, it turns into a fraction. The dividend becomes the numerator and the divisor becomes the denominator.(6 votes)

- I don't understand anything 😱(9 votes)
- Listen Carefully and

Try rewatching the videos and do it hands-on :)(2 votes)

- Ok pop quiz: 200 divided by 0.009 times 70 whats the answer?(7 votes)
- The video looks easy, but when I try to do it in real life by myself, I struggle. So I have been working on it more lately!(5 votes)
- Try it like this- Divide 4000 by 2. You can do that in your head right? So when you do division just keep that close by as an example.(2 votes)

- quick question. if 2 numbers of the equation still don't come in the times table do you move onto the third?(4 votes)
- It appears that you are asking about things for long-division, dividing by 2-digits. However, know that you will never have to move onto the third. When comparing the first digit of the dividend with the first digit of the divisor, the dividend's may be greater than the divisor's (e.g 91÷9). But once you move onto the next place value, it will always be greater because you are now in the 10's place, and one 10 is always greater than one 9.(4 votes)

- quick question! 36 divided by 6! ;)(4 votes)
- 6 because 6 times 6 = 36(3 votes)

- I wonder when will people realize that when you divide something by 0 you will just get 0.(3 votes)
- When I put 8/0 into the calculator, I got undefined which is the right answer. 0/8 = 0.(3 votes)

- idk i dont rlly get it help(3 votes)
- Try rewatching the videos and do it hands-on :)(3 votes)

## Video transcript

Let's divide 7,182 by 42. And what's different
here is we're now dividing by a two-digit
number, not a one-digit number, but the same idea holds. So we say, hey, how many
times does 42 go into 7? Well, it doesn't really
go into 7 at all, so let's add one
more place value. How many times
does 42 go into 71? Well, it goes into 71 one time. Just a reminder, whoever's doing
the process where you say, hey, 42 goes into 71 one time. But what we're really saying,
42 goes into 7,100 100 times because we're putting this
one in the hundreds place. But let's put that on
the side for a little bit and focus on the process. So 1 times 42 is 42,
and now we subtract. Now, you might be able to do 71
minus 42 in your head, knowing, hey, 72 minus 42 would be 30. So 71 minus 42 would be
29, but we could also do it by regrouping. To regroup, you want to
subtract a 2 from a 1. You can't really do that
in any traditional way. So let's take a 10 from the
70, so that it becomes a 60, and give that 10
to the ones place, and then that becomes an 11. And so 11 minus 2 is
9, and 6 minus 4 is 2. So you get 29. And we can bring down
the next place value. Bring down an 8. And now, this is
where the art happens when we're dividing by
a multi-digit number right over here. We have to estimate how many
times does 42 go into 298. And sometimes it might involve
a little bit of trial and error. So you really just kind
of have to eyeball it. If you make a
mistake, try again. The way you know
you make a mistake is, if say it goes into it 9
times, and you do 9 times 42 and you get a number larger than
298, then you overestimated. If you say it goes into it
three times, you do 3 times 42, you get some number here. When you subtract, you get
something larger than 42, then you also made a mistake,
and you have to adjust upwards. Well, let's see if
we can eyeball it. So this is roughly 40. This is roughly 300. 40 goes into 300 the same
times as 4 goes into the 30, so it's going to be roughly 7. Let's see if that's right. 7 times 2 is 14. 7 times 1 is 28, plus 1 is 29. So I got pretty close. My remainder here-- notice
294 is less than 298. So I'm cool there. And my remainder is less
than 42, so I'm cool as well. So now let's add
another place value. Let's bring this 2 down. And here we're just
asking ourselves, how many times
does 42 go into 42? Well, 42 goes into
42 exactly one time. 1 times 42 is 42, and
we have no remainder. So this one luckily
divided exactly. 42 goes into 7,182
exactly 171 times.