In this activity, we will use long division to solve problems by dividing up to four digit numbers by two-digit numbers.

When using long division, we need to recognise remainders and write them in the appropriate place.

Example

3,904 eggs are packed into boxes of 12.

How many boxes will there be and how many eggs will be left over?

Answer

We must do   3904 ÷ 12

First, do  39 ÷ 12 = 3 rem 3 and bring down the 0.

Next, do 30 ÷ 12 = 2 rem 6 and bring down the 4.

Lastly, divide 64 ÷ 12 = 5 rem 4.

We have shown that 3,904 ÷ 12 = 325 r4

There will be 325 boxes and 4 eggs will be left over. 

Shall we have a go at some questions now?