Division word problems with remainders, step by step

Most division stories a child meets share out evenly, and then real life does not.

The question

How many folders are left over?

Courtney shares 13 folders equally among 4 friends.
3 × 4 = 12
3 × 4 = 12
13 − 12 = 1
13 ÷ 4 = 3 R 1
13 ÷ 4 = 3 R 1
asked:How many folders are left over?
1 folder
  1. Read it through once. Something is shared or grouped equally, so it is a division — 13 ÷ 4. The catch is that it does NOT come out even, and what to do with the bit left over is the whole question.
  2. Find the most whole groups that FIT without going over: 3 × 4 = 12, and one more would be 16, which is past 13. So 3 is as far as it goes.
  3. Now what is left over: 13 − 12 = 1. That leftover is too small to make another group — it is the REMAINDER. Written together, 13 ÷ 4 = 3 R 1.
  4. The question asks how many are LEFT OVER, so the answer is the remainder — the 1, not the 3: 1 folder.

How it works.

  1. 01

    Read it through once. Something is shared or grouped equally, so it is a division — 13 ÷ 4. The catch is that it does NOT come out even, and what to do with the bit left over is the whole question.

  2. 02

    Find the most whole groups that FIT without going over: 3 × 4 = 12, and one more would be 16, which is past 13. So 3 is as far as it goes.

  3. 03

    Now what is left over: 13 − 12 = 1. That leftover is too small to make another group — it is the REMAINDER. Written together, 13 ÷ 4 = 3 R 1.

  4. 04

    The question asks how many are LEFT OVER, so the answer is the remainder — the 1, not the 3: 1 folder.