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Mathematics·Multiplication & Division·procedural

Division with remainders (age 10+)

Divide numbers up to 4 digits by a two-digit divisor using formal written long division, interpreting remainders as whole numbers, fractions, or by rounding as appropriate

Suggested ages 10–11

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Learning journey

Your child is advancing to sophisticated multiplication and division — using formal written methods for complex calculations, working with decimals, and applying the order of operations to solve multi-step problems.

Evidence of understanding

  • Compute 4,752 ÷ 13 using long division and express the remainder as a fraction
  • Decide whether to round up or down a division remainder in a real-life context (e.g. buses needed)
  • Explain each step of the long division algorithm for a 4-digit ÷ 2-digit calculation

Assessment prompt

Can Division with remainders (age 10+) use long division to work out something like '1,848 ÷ 24' — going through the steps of divide, multiply, subtract, and bring down until they reach the answer?

Standards alignment

No external standards are linked to this topic.