Maths KS2: Dividing using written methods

Olivia and Hassan learn how to perform long division in order to free gridlocked traffic on a bridge.

Our great mathemagician Hypatia challenges them with a division question: 432 ÷ 12, and Archimedes demonstrates how they can use the method of dividing the cars as a springboard to apply long division.

The episode ends with Archimedes performing a long division question, and asking pupils to spot his mistakes.

This short animated film is from the BBC Teach series, Hypatia's Mathematical Maze.

Teacher Notes

Before watching the film

Prior to this lesson you may wish to introduce pupils to other relevant topics, for example:

  • Factors and multiples
  • Mental division as the inverse of times tables
  • The term ‘difference’ as a means of subtracting

During watching the film

Depending on the focus of your lesson, you may wish to pause the film at certain points and check for understanding, asking questions such as:

  • What is the multiple just below one of the ones on the side of the truck in the video?
  • What is the difference between the multiple found and the actual number?
  • What resources could we use to find the multiples and the difference?

Final question:
A farmer sells eggs in boxes of 24. How many full boxes can he sell if he has 900 eggs? How many boxes does he need to transport all of his 685 eggs?

Answer to the final question:
900 divided by 24 = 37.5, so they can sell 37 full boxes.
685 divided by 24 = 28.54, so they would need 29 boxes to transport all the eggs.

Following on from the film

  • Explore the difference between rounding up and rounding down problems, as in Hypatia’s final question.
  • Look at a number, e.g. 1728. You have three lives. Each time you divide it and you get an answer with a remainder you lose a life. Which divisors will you choose and why? E.g. I’ll choose 3 because 1728 has a digit total of 18 so is a multiple of 3. I’ll choose 2 because it’s even. I’ll choose 4 because 1700 is a multiple of 100 and therefore a multiple of 4, and 28 is a multiple of 4, etc.

Curriculum Notes

This short film is suitable for teaching maths at KS2 in England, Wales and Northern Ireland and 2nd Level in Scotland.

More from Hypatia's Mathematical Maze

Adding and subtracting using mental methods
Adding and subtracting using written methods
How and why we round numbers
Using addition and subtraction in multi-step problems
Multiplying by 10, 100 and 1000
Mental multiplication
Factors, multiples and primes
Multiplying using written methods
Recognising and comparing fractions
Adding and subtracting fractions
Multiplying and dividing fractions