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Grade 3 (age 8-9)

grade 3 Division Basics

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 if you know 3 × 4 = 12 you also know 12 ÷ 3 = 4. Drag the sliders for the total and the number of groups and the sharing comes into view.

Division = Equal Sharing

🍪 Share Cookies!
①12 cookies shared by 3 friends?
②12 ÷ 3 = 4, each gets 4!
③Division is "equal sharing"

Division as Groups

13
4
💡 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

4
5
🔄 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
⑤0 ÷ 5 = 0 is fine. You cannot divide by 0

Examples and Unit Test

Example 1
If 12 marbles are shared equally among 3 people, how many does each get?
1
Split the 12 into 3 equal groups.
2
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?
1
See how many 5s fit in 17: 5, 10, 15 → 3 times.
2
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?
3
4
5
6
② 4
1
Think of multiplication in reverse: 4 × 6 = 24 means 24 ÷ 6 = 4.
2
So 24 ÷ 6 = 4.