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Year 6 · Maths · Four operations · Lesson 3

Long division

Divide numbers up to 4 digits by a 2-digit number using long division, with remainders and word problems.

Whiteboard video lesson: Long division

31-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • List multiples of a 2-digit divisor
  • Use divide, multiply, subtract, bring down
  • Find remainders
  • Interpret remainders in context

The method

  1. List multiples of the divisor.
  2. Divide: how many times?
  3. Multiply and subtract.
  4. Bring down the next digit. Repeat.

Key words: long division, divisor, quotient, remainder, multiple.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Work out 384 ÷ 12.

  1. Step 1: Set it out
  2. Step 2: Divide, multiply, subtract, bring down (1)
  3. Step 3: Divide, multiply, subtract, bring down (2)

Answer: 32

Question 2

Work out 525 ÷ 15.

  1. Step 1: Set it out
  2. Step 2: Divide, multiply, subtract, bring down (1)
  3. Step 3: Divide, multiply, subtract, bring down (2)

Answer: 35

Question 3

Work out 672 ÷ 21.

  1. Step 1: Set it out
  2. Step 2: Divide, multiply, subtract, bring down (1)
  3. Step 3: Divide, multiply, subtract, bring down (2)

Answer: 32