Division guide: how it works and how to teach it

What is division?

Division is sharing or grouping. "20 ÷ 5 = ?" asks either "share 20 equally among 5, how much each?" or "how many 5s fit inside 20?". The ÷ sign means "split into equal parts".

Division is the reverse of multiplication. Since 5 × 4 = 20, we know 20 ÷ 5 = 4. Strong times tables are the best division tool your child can have.

How division works

• Sharing model: hand out 12 cookies to 3 children one at a time — each gets 4.
• Grouping model: put 20 counters into piles of 5 — you can make 4 piles.
• Reverse multiplication: "12 ÷ 3 = ?" means "3 times what equals 12?" — and 3 × 4 = 12.
• Remainders: when things do not split evenly, the amount left over is called the remainder (e.g., 13 ÷ 4 = 3 with 1 left over).

Worked examples

1. 12 ÷ 3 = ?

   1. Share 12 objects into 3 equal groups.
   2. Each group gets 4 objects.
   3. Check: 3 × 4 = 12, so 12 ÷ 3 = 4.

2. 20 ÷ 4 = ?

   1. Ask: "How many 4s fit inside 20?"
   2. Count by 4s: 4, 8, 12, 16, 20 — that is 5 groups.
   3. 20 ÷ 4 = 5.

3. 18 ÷ 6 = ?

   1. Use the related multiplication fact: 6 × ? = 18.
   2. 6 × 3 = 18.
   3. 18 ÷ 6 = 3.

4. 24 ÷ 8 = ?

   1. Think of the fact family: 8 × 3 = 24.
   2. Division undoes multiplication, so 24 ÷ 8 = 3.
   3. Check by multiplying: 8 × 3 = 24. Correct!

Tips for parents and teachers

• Begin with real sharing: snacks, coins, or counters make division concrete and fair.
• Always practice division together with its multiplication fact. The two reinforce each other.
• Let children draw pictures and use skip counting before moving to written long division.
• Expect remainders later. The game starts with exact division so children can build confidence first.

Frequently asked questions