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4-digit by 1-digit long division, step by step

By four digits the algorithm becomes a loop.

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The question

6350 ÷ 5

1270 56350 5131035350
  1. 6350 shared into groups of 5. Long division starts at the LEFT — the other way round from adding.
  2. Start at the left. How many 5s fit into 6? 1 of them — write the 1 on top. 1 × 5 = 5, and 6 − 5 leaves 1. Bring down the 3, which makes 13.
  3. How many 5s fit into 13? 2 — write it on top. 2 × 5 = 10, and 13 − 10 leaves 3. Bring down the 5, which makes 35.
  4. How many 5s fit into 35? 7 — write it on top. 7 × 5 = 35, and 35 − 35 leaves 0. Bring down the 0, which makes 0. 5 does not go into 0, so a 0 goes on top.
  5. Nothing is left to bring down and nothing is left over. 6350 ÷ 5 = 1270.

How it works.

  1. 01

    6350 shared into groups of 5. Long division starts at the LEFT — the other way round from adding.

  2. 02

    Start at the left. How many 5s fit into 6? 1 of them — write the 1 on top. 1 × 5 = 5, and 6 − 5 leaves 1. Bring down the 3, which makes 13.

  3. 03

    How many 5s fit into 13? 2 — write it on top. 2 × 5 = 10, and 13 − 10 leaves 3. Bring down the 5, which makes 35.

  4. 04

    How many 5s fit into 35? 7 — write it on top. 7 × 5 = 35, and 35 − 35 leaves 0. Bring down the 0, which makes 0. 5 does not go into 0, so a 0 goes on top.

  5. 05

    Nothing is left to bring down and nothing is left over. 6350 ÷ 5 = 1270.

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