Division with remainders, step by step
Division with remainders is where a child learns that not everything shares out evenly.
The question
59 ÷ 5
11 559 5954
- 59 shared into groups of 5. Long division starts at the LEFT — the other way round from adding.
- Start at the left. How many 5s fit into 5? 1 of them — write the 1 on top. 1 × 5 = 5, and 5 − 5 leaves 0. Bring down the 9, which makes 9.
- How many 5s fit into 9? 1 — write it on top. 1 × 5 = 5, and 9 − 5 leaves 4.
- Nothing is left to bring down, and 4 is too small to divide again — so that is the remainder. 59 ÷ 5 = 11 remainder 4.
How it works.
- 01
59 shared into groups of 5. Long division starts at the LEFT — the other way round from adding.
- 02
Start at the left. How many 5s fit into 5? 1 of them — write the 1 on top. 1 × 5 = 5, and 5 − 5 leaves 0. Bring down the 9, which makes 9.
- 03
How many 5s fit into 9? 1 — write it on top. 1 × 5 = 5, and 9 − 5 leaves 4.
- 04
Nothing is left to bring down, and 4 is too small to divide again — so that is the remainder. 59 ÷ 5 = 11 remainder 4.