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Lesson 1: Remainders

# Division: FAQ

## 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 $1$.
$17÷4$
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.
$\begin{array}{rl}& \phantom{=}288÷4\\ \\ & =\left(200÷4\right)+\left(80÷4\right)+\left(8÷4\right)\\ \\ & =50+20+2\\ \\ & =72\end{array}$
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 $300+180+6$.
$\begin{array}{rr}3& \stackrel{―}{\right)486}\\ & -\underset{―}{300}& 100\\ & 186\\ & -\underset{―}{180}& 60\\ & 6\\ & -\underset{―}{6}& \underset{―}{+2}\\ & 0& 162\end{array}$
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.

## Want to join the conversation?

• I don't get what it is saying.
• same
• stil cant belive i read all this.
• naw fr
• sup and this is around 4 grade
• I already know a lot about division like long division so this should be really easy for me but at least I learned more than what I already know.
• whats long divisoin and what grade do you learn that in
• I do not understand this explanation. Can someone tell me?
• I like division