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Door 3 · Grade 5

🔢 Long Division

Long division: Divide, Multiply, Subtract, Bring down — repeat

▶ Play Door 3

Dividing with Remainders

Long division repeats four steps: Divide → Multiply → Subtract → Bring down. Keep going until there are no digits left to bring down. What is left over is the remainder.
Example: 96 ÷ 8 → 9 ÷ 8 = 1 (1×8=8, 9−8=1), bring down 6 → 16 ÷ 8 = 2. Answer 12, remainder 0.

Worked example

Problem: Divide 84 ÷ 4.

  1. 8 ÷ 4 = 2, 4 ÷ 4 = 1 → 21, remainder 0.

Answer: 8 ÷ 4 = 2, 4 ÷ 4 = 1 → 21, remainder 0.

Division Word Problems

In word problems, 'shared equally', 'each', 'split into groups' and 'how many in each' mean divide. Think about what the remainder means in the situation — sometimes you round up (you need an extra bus), sometimes you ignore it.

Worked example

Problem: 50 sweets are shared equally among 5 children. How many each?

  1. 50 ÷ 5 = 10 each.

Answer: 50 ÷ 5 = 10 each.