Long Division Problems

In this worksheet we will solve division problems where we must divide numbers with up to 4 digits by 2-digit numbers using long division.

There will be remainders which then have to be interpreted properly.

Example

3904 eggs are packed into boxes of 12.

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

Answer

We must divide   3904 ÷ 12

We set out the calculation like this and then divide using long division.

We have shown that    3904 ÷ 12 = 325 r4

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

NB 4 eggs out of 12 is the same as the fraction 4/12 = 1/3.