Long division with remainders, step by step
Long division with remainders is the full algorithm on bigger numbers.
The question
143 ÷ 5
28 5143 1043403
- 143 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 14? 2 of them — write the 2 on top. 2 × 5 = 10, and 14 − 10 leaves 4. Bring down the 3, which makes 43.
- How many 5s fit into 43? 8 — write it on top. 8 × 5 = 40, and 43 − 40 leaves 3.
- Nothing is left to bring down, and 3 is too small to divide again — so that is the remainder. 143 ÷ 5 = 28 remainder 3.
How it works.
- 01
143 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 14? 2 of them — write the 2 on top. 2 × 5 = 10, and 14 − 10 leaves 4. Bring down the 3, which makes 43.
- 03
How many 5s fit into 43? 8 — write it on top. 8 × 5 = 40, and 43 − 40 leaves 3.
- 04
Nothing is left to bring down, and 3 is too small to divide again — so that is the remainder. 143 ÷ 5 = 28 remainder 3.