Arithmetic (all content)
- Intro to remainders
- Understanding remainders
- Divide with remainders (2-digit by 1-digit)
- Interpreting remainders
- Long division with remainders: 3771÷8
- Long division with remainders: 2292÷4
- Divide multi-digit numbers by 6, 7, 8, and 9 (remainders)
- Multi-digit division
Sal shows how a remainder is what's left over in a division problem. Created by Sal Khan.
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- Isn't there a way to make the remainder a fraction?(157 votes)
- Yes, the numerator will be the remainder, and the denominator will be the divisor.
13/4 = 3 with a remainder of 1, so the answer will be 3 1/4(139 votes)
- When do we use remainders in real life?(43 votes)
- I use it when dividing packages of candy canes and chocolates into goody bags for my piano students. I don't want anyone to get less than another. My husband eats the remainders. :)(93 votes)
- Is long division the easiest way to finding remainders. Or is there another way?(6 votes)
- It's the easiest with large numbers, for smaller ones, say 10 divided by 3, that's pretty easy to do counting out or however you'd wanna do it.(6 votes)
- how are u like givng it the regrouping part(4 votes)
- By "regrouping part" do you mean the remainders? Or do you mean regrouping in the subtraction part?
For the remainders, whatever is left after the subtracting is the remainder.
For regrouping in the subtraction part, you just need to be very careful with how you write it. Make the 1 that you small and try to put it below the first subtraction line to keep things tidy.(5 votes)
- At1:45I think he should have done a division problem of hard numbers for the example.(3 votes)
- When a remainder is written in form of a fraction. What does it mean?(3 votes)
Let's take the number 7 and divide it by 3. And I'm going to conceptualize dividing by 3 as let me see how many groups of 3 I can make out of the 7. So let me draw 7 things-- 1, 2, 3, 4, 5, 6, 7. So let me try to create groups of 3. So I can definitely create one group of 3 right over here. I can definitely create another group of 3. So I'm able to create two groups of 3. And then I can't create any more full groups of 3. I have essentially this thing right over here left over. So this right over here, I have this thing remaining. This right over here is my remainder after creating as many groups of 3 as I can. And so when you see something like this, people will often say 7 divided by 3. Well, I can create two groups of 3. But it doesn't divide evenly, or 3 doesn't divide evenly into 7. I end up with something left over. I have a leftover. I have a remainder of 1. So this is literally saying 7 divided by 3 is 2 remainder 1. And that makes sense. 2 times 3 is 6. So it doesn't get you all the way to 7. But then if you have your extra remainder, 6 plus that 1 remainder gets you all the way to 7. Let's do another one. Let's imagine 15 divided by 4. Let me draw 15 objects-- 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15. Now, let me try to divide it into groups of 4. So let's see, that's one group of 4. That's another group of 4. And then that's another group of 4. So I'm able to create three groups of 4. But then I can't create a fourth full group of 4. I am then left with this remainder right over here. I have a remainder right over here of 3. I have 3 left over. So we could say that 15 divided by 4 is 3 remainder 3. 4 goes into 15 three times. But that only gets us to 12. 4 times 3 is 12. To get all the way to 15, we need to use our remainder. We have to get 3 more. So 15 divided by 4, I have 3 left over.