Grade 3 (age 8-9)

Division Basics

Division splits a group of things equally to find how many go into each bundle. If 12 cookies are shared among 3 friends, each gets 4, written as 12 ÷ 3 = 4. It is multiplication in reverse, so knowing 3 × 4 = 12 tells you 12 ÷ 3 = 4 too. Drag the sliders for the total and the number of groups to see how the sharing works.

Division = Equal Sharing

🍪 Share Cookies!

①12 cookies shared by 3 friends?

②12 ÷ 3 = 4, each gets 4!

③Division is "equal sharing"

Division as Groups

Total12

Groups3

💡 What is a Remainder?

①13 in 4 groups? Each gets 3, remainder 1

②Remainder = leftover after equal sharing

③Remainder is always smaller than divisor!

Multiplication & Division are Friends

First Number4

Second Number5

🔄 Multiplication ↔ Division

①Knowing multiplication = knowing division

②4 × 5 = 20 → 20 ÷ 5 = 4, 20 ÷ 4 = 5

③Reverse times-tables = division!

Summary

Meaning of Division

12 ÷ 3 = 4

12 split into 3 equal groups → 4 each

Division with Remainder

13 ÷ 4 = 3 ... 1

Not even → remainder appears

Mul-Div Relation

A × B = C → C ÷ B = A

Reverse multiplication = division

🎯 Key Points

①Division = equal sharing

②Remainder always smaller than divisor

③Times tables make division easy

④Division is opposite of multiplication

⑤Cannot divide by 0

Examples and Unit Test

Example 1

If 12 marbles are shared equally among 3 people, how many does each get?

Split the 12 into 3 equal groups.

12 ÷ 3 = 4, so each person gets 4.

▸ 4 marbles

Division splits a whole into equal groups.

Example 2

If 17 candies are grouped 5 at a time, how many groups and how many are left?

See how many 5s fit in 17: 5, 10, 15 → 3 times.

5 × 3 = 15, 17 − 15 = 2. So 17 ÷ 5 = 3 R 2.

▸ 3 groups, remainder 2

The remainder is always smaller than the divisor (5).

Unit Test

Using 4 × 6 = 24, what is 24 ÷ 6?

①3

②4

③5

④6

▸ ② 4

Think of multiplication in reverse: 4 × 6 = 24 means 24 ÷ 6 = 4.

So 24 ÷ 6 = 4.

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Multiplication

Fractions