Short Blocks

Maths Year 6 Spring Multiplication and Division (B)

Each unit has everything you need to teach a set of related skills and concepts.

Long division; different remainder forms (suggested as 2 days)

Planning and Activities

Day 1 Teaching
Write 632 ÷ 14 and discuss how we can first write the multiples of 14 and then use these to solve this problem using long division. Give the answer as 45 r 2. Repeat this process with 532 ÷ 17.
Group Activities
-- Work in a step-by-step way to use efficient chunking to perform long division.
-- Practise long divisions and then create similar divisions using the same number and different divisors.

Day 2 Teaching
Use long division to work out 355 ÷ 15. Agree the answer 23 r 10. We can also divide 10 by 15 to give 10/15. Simplify this to give 232/3. Repeat this process for other divisions, dividing the remainder to give a fraction. Use equivalents to write fraction as a decimal.
Group Activities
Use the ‘Exact Answers’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Divide by 16 using the step-by-step chunking process; write remainders as fractions and as equivalent decimals for halves/quarters.
-- Explore patterns of answers ending .25 or .75 when dividing by 16 and attempt to find dividends with answers ending in .5.

You Will Need

  • Mini-whiteboards and pens
  • Flipchart and pens
  • SATs-style practice questions (see download below)

Mental/Oral Maths Starters

Day 1
17 times table (pre-requisite skills)

Day 2
Equivalent fractions and decimals (pre-requisite skills)


Day 1
Write multiples and use these to help divide 3-digit numbers by 2-digit numbers (answers with remainders).

Day 2
Write multiples and use these to help divide 3-digit numbers by 2-digit numbers, writing remainders as fractions and decimals.

Mastery: Reasoning and Problem-Solving

  • Which numbers between 1 and 10 does 4566 divide by to leave a remainder? Demonstrate that you have found them all.
  • Write the 22 times table up to 10 x 22. Use this to help divide 5546 by 22.
  • Divide 2752 by 5 and give the answer first as a mixed number and then as a number with a decimal part.

In-depth Investigation: Exact Answers
Children use their knowledge of long division to explore patterns in remainders.

Extra Support

Amazing Multiples
Using chunking to divide (answers less than 100)