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Division: FAQ

Frequently asked questions about division.

What is a remainder?

When we divide one number by another, sometimes the division doesn't come out evenly. The remainder is the part that's left over.
For example, when we divide 17 by 4, we get a quotient of 4 with a remainder of 1.
Try it yourself with these exercises:

What is division with place value?

When we divide larger numbers, we can break them down into smaller chunks using place value.
For example, when we divide 288 by 4, we can divide the 200 by 4, the 80 by 4, and the 8 by 4 and then add the quotients together.
Try it yourself with this exercise:

How can we use area models to help us divide?

An area model is a way of visually breaking down a multiplication or division problem into smaller parts. We can use an area model to show the distributive property of multiplication and division.
For example, we can break apart 4,115÷4 using the area model below.
Try it yourself with these exercises:

What is multi-digit division with partial quotients?

When we divide multi-digit numbers, we can use partial quotients to break the problem down into smaller chunks. For example, when we divide 486 by 3, we can break down 486 into 300+180+6.
Try it yourself with these exercises:

Where do we use division in the real world?

We use division all the time! For example, we might use it to split a bill evenly between a group of friends, to calculate a batting average in baseball, or to figure out how many servings of food we can make from a recipe.

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