# Understanding remainders

Use arrays and practice problems to understand remainders.

## Some division problems work out nicely.

start color tealD, 24, end color tealD, divided by, start color purpleC, 8, end color purpleC, equals

## Other division problems don't work out nicely.

start color tealD, 25, end color tealD, divided by, start color purpleC, 7, end color purpleC
Oh no! We can't split start color tealD, 25, end color tealD circles into perfect groups of start color purpleC, 7, end color purpleC. We have some circles left over.
How many groups of start color purpleC, 7, end color purpleC can we make?

How many circles remain? In other words, how many circles are not in a group?

## Key idea: We can use a remainder to describe what remains after dividing.

25, divided by, 7, equals, 3, space, w, i, t, h, space, a, space, r, e, m, a, i, n, d, e, r, space, o, f, space, 4
empty space, equals, 3, space, R, space, 4

## Practice problems

Practice problem 1
19, divided by, 9, equals
R

## Challenge: Try this game

Instructions: Your goal is to figure out the remainder of the division problem shown on the screen. Once you know the answer, rotate the shape so that the edge with the answer is at the bottom.
If you have a keyboard, use your left and right arrow keys to rotate the shape.
If you don't have a keyboard, press the arrows shown on screen.
Pro tip: The down arrow speeds things up.