Division
Splitting into equal groups or finding how many groups fit; inverse of multiplication.
Key idea
Splitting into equal groups or finding how many groups fit; inverse of multiplication.
In depth
Division asks how many equal groups fit (quotient) or how big each share is. It undoes multiplication: 24 ÷ 6 = 4 because 6 × 4 = 24. Dividing by zero is undefined since no number times zero gives a non-zero total.
Worked example
Share 20 sweets among 4 children: 20 ÷ 4 = 5 each.
Formula
Real-world uses
- Sharing a pizza among friends
- Working out how many packs of pens to buy
- Calculating cost per item
Common mistake
Treating division as commutative. 8 ÷ 2 = 4 but 2 ÷ 8 = 0.25.
How to learn this
- Read the key idea and say it in your own words.
- Work through the worked example, then try a similar problem.
- Use the interactive lesson’s visual and mini-quiz to check the pattern.
Frequently asked questions
What is Division?
Splitting into equal groups or finding how many groups fit; inverse of multiplication. It is a topic at the beginner level in Arithmetic & Number Sense.
What is the formula for Division?
The key formula is a ÷ b = c ⇔ b × c = a.
Where is Division used in real life?
Real-world examples: Sharing a pizza among friends; Working out how many packs of pens to buy; Calculating cost per item.
What should I learn before Division?
Make sure you are comfortable with Properties of Multiplication, the previous topic in Arithmetic & Number Sense.
What is a common mistake with Division?
Treating division as commutative. 8 ÷ 2 = 4 but 2 ÷ 8 = 0.25.
How can I practise Division?
Open the interactive lesson, play with the visual, then answer the three-question mini-quiz. Getting two right marks the topic complete.
What comes after Division?
Move on to Division with Remainder next.
Related beginner topics in Arithmetic & Number Sense
- Counting & Cardinality – Assigning one number word to each object to find how many there are.
- Place Value – The value of a digit depends on its position: ones, tens, hundreds and so on.
- Number Line – A line where numbers are placed in order at equal spacing to compare and add them.
- Comparing Numbers – Use <, > and = to say which number is smaller, larger or equal.
- Ordering Numbers – Arranging numbers from least to greatest or the reverse.
- Even and Odd Numbers – Even numbers divide by 2 with no remainder; odd numbers leave remainder 1.