🔢 Long Division
Long division: Divide, Multiply, Subtract, Bring down — repeat
▶ Play Door 3Dividing 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.
- 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?
- 50 ÷ 5 = 10 each.
Answer: 50 ÷ 5 = 10 each.