X Tables
Maths History

The division sign story

Compare ÷, / and fraction bars.

Quick answer

The division sign (÷) was invented by Swiss mathematician Johann Heinrich Rahn in 1659. Before that, people used different symbols or wrote division as fractions. The ÷ symbol is still used today, especially in schools, but the forward slash (/) and fraction bar (—) are also common ways to show division.

Learning outcome

By the end of this page, you will understand how the division sign (÷) came into use and how it compares with other division symbols like / and —.

Why this matters

Knowing how the division sign came about helps you understand why we use it today. It also shows how maths ideas change over time. Understanding different symbols helps you read maths in books, games, and real life. Whether you see ÷, /, or —, they all mean the same thing: sharing or splitting something into equal parts.

How it works

Division is about splitting something into equal groups. The symbols for division help us write this idea down. Let’s look at how each symbol works. First, the division sign (÷) is a symbol with a horizontal line and a dot above and below it. It is used in schools in the UK and many other countries. Next, the forward slash (/) is used in computer programs, calculators, and informal writing. It is a quick way to show division. Finally, the fraction bar (—) is the line between two numbers in a fraction. It shows that the top number (numerator) is divided by the bottom number (denominator). All three symbols mean the same thing, but they are used in different situations.

Examples you can see

Let’s look at how the same division problem can be written in three different ways:
  • 12 ÷ 3 = 4
  • 12 / 3 = 4
  • 12 = 4
Each of these shows the same idea: if you split 12 things into 3 equal groups, each group has 4 things. Let’s try another example with real-world objects. Imagine you have 10 apples and want to share them equally among 2 friends.
  • Using the ÷ sign: 10 ÷ 2 = 5
  • Using the / sign: 10 / 2 = 5
  • Using the fraction bar: 10 = 5
In all cases, each friend gets 5 apples.

Try it as a mini adventure

Let’s go on a journey to discover the history of the division sign! Adventure: The Great Symbol Hunt 1st time: You find a maths book from 1600. It uses a strange symbol for division that looks like a line with dots. What do you think it means? 2nd time: You find another book from 1700. It uses the symbol ÷. What do you notice about this symbol? 3rd time: You go to a computer and type 12 / 3 = 4. What do you see? 4th time: You look at a pizza with 8 slices. You split it into 4 equal parts. How many slices are in each part? 5th time: You draw a fraction bar and write 15 over 3. What does that mean? Now you have seen how division can be written in many ways. The symbol might change, but the idea stays the same.

Common mistakes

  • Mistake: Thinking that ÷ is only used in school.
    Why it happens: People may see ÷ only in maths books or on calculators.
    Fix: Remember that ÷ is used in many places, especially in the UK and many other countries.
  • Mistake: Mixing up ÷ and / in a problem.
    Why it happens: They look similar and are both used for division.
    Fix: Focus on what the problem is asking and how it’s written. The meaning is the same.
  • Mistake: Thinking that a fraction bar means something different from ÷.
    Why it happens: Many students think fractions are only about parts of a whole.
    Fix: Remember that the fraction bar also means "divided by".

Parent and carer guide

Parents and carers can help by:
  • Showing how the symbols are used in different places, like books, calculators, and games.
  • Encouraging children to ask questions about why symbols are used in different ways.
  • Practising writing division problems using all three symbols.
  • Using everyday examples, like sharing snacks or dividing toys, to show how division works.
  • Reassuring children that even though the symbols look different, they all mean the same thing.
If your child is unsure, remind them that division is always about sharing or splitting things equally. The symbols are just different ways to write that idea.

Practice questions

  1. Write 18 ÷ 6 using a forward slash (/).
  2. Write 20 / 4 using a fraction bar.
  3. What is 15 ÷ 3 written as a fraction?
  4. How would you write 24 ÷ 8 using a fraction bar?
  5. Which symbol means the same as ÷? Circle the correct one: / or +
Answers:
  1. 18 / 6
  2. 20
  3. 15
  4. 24
  5. /

FAQ

What does the division sign (÷) mean?

The division sign means "split into equal parts" or "share equally". It shows that one number is being divided by another.

Who invented the division sign?

The division sign (÷) was invented by Johann Heinrich Rahn, a Swiss mathematician, in 1659.

Why do we use different symbols for division?

Different symbols are used in different places and times. The ÷ sign is common in schools, the / is used in computers, and the fraction bar is used in advanced maths.

Can I use any symbol for division?

Yes, all three symbols mean the same thing. However, it’s best to use the one that is common in your school or country.

Is there a history to the fraction bar?

Yes, the fraction bar was used long before the division sign. It comes from ancient methods of writing numbers and shows that one number is divided by another.