# Find quotients (15x15)

Lesson

Having some tools to help with multiplication means we can use those same tools for division.   Arrays, the area of a rectangle, and place value are all useful for working out quotients using division.

### Using arrays

For $\frac{63}{9}$639  , which we can also write as $63\div9$63÷​9, we can look at how many rows of 9 we need to make 63.  Here's a lesson on arrays that might help you see how they can be useful.

### Using the area of a rectangle

For $\frac{45}{9}$459 , which we can write as $45\div9$45÷​9,  what is the length of the rectangle that gives us an area of 45, if the width is 9?  Want a refresher on how the area of rectangles can help here?   This topic shows how we use it for multiplication, and can use the same approach for finding the quotient.

### Place value to break our problem up

To solve $\frac{33}{3}$333 , which we can write as $33\div3$33÷​3, we can break this into two smaller problems, 3 tens, or 30 divided by 3,  plus 3 ones, or 3, divided by 3 , then add the solutions together.

Have a look at the video to see how we do this, and think about which method might be the one for you!

### Outcomes

#### 5.NN3.04

Divide three-digit whole numbers by one-digit whole numbers, using concrete materials, estimation, student-generated algorithms, and standard algorithms