🔵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.
👀 See a worked example
Divide 84 ÷ 4.
8 ÷ 4 = 2, 4 ÷ 4 = 1 → 21, remainder 0.
Divide 100 ÷ 6.
6 × 16 = 96, 100 − 96 = 4 → 16 remainder 4.
🤖 Vidi's Key Points
- Long division: Divide, Multiply, Subtract, Bring down — repeat.
- The leftover amount is the remainder.
- Check: quotient × divisor + remainder = the original number.
🟢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.
👀 See a worked example
50 sweets are shared equally among 5 children. How many each?
50 ÷ 5 = 10 each.
A bus holds 40 children. How many buses for 100 children?
100 ÷ 40 = 2 remainder 20, so you need 3 buses (round up).
🤖 Vidi's Key Points
- 'Shared equally / each / split into groups' mean divide.
- Decide what the remainder means in the situation.
- Sometimes round the answer up; sometimes ignore the remainder.
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