seegongsik
Grade 3 (age 8-9)

grade 3 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 means sharing equally

🍪 Sharing cookies
①If 3 friends share 12 cookies equally, how many does each friend get?
②12 ÷ 3 = 4, so each friend gets 4
③Sharing equally like this is division

Division as equal groups

13
4
💡 What is a remainder?
①Sharing the total equally puts the same number of dots in every group
②Sharing 13 among 4 groups gives 3 in each group, with 1 left over
③What is left after sharing equally is the remainder, drawn as red dots at the bottom
④The remainder is always smaller than the number you divide by

Multiplication and division go together

4
5
🔄 Multiplication ↔ division
①The multiplication fact on top and the two division facts below use the same three numbers
②If 4 × 5 = 20, then 20 ÷ 5 = 4 and 20 ÷ 4 = 5
③Thinking of the times tables backward gives division answers

Wrap-up

What division means
12 ÷ 3 = 4
Sharing 12 equally among 3 groups puts 4 in each group
Division with a remainder
13 ÷ 4 = 3 R 1
When it doesn't share out evenly, there is a remainder
Multiplication and division
A × B = C → C ÷ B = A
Division is multiplication done backward
🎯 Remember
①Division means sharing equally
②The remainder is always smaller than the number you divide by
③Knowing the times tables makes division easier
④Multiplication and division undo each other
⑤0 ÷ 5 = 0 works, but you can never divide a number by 0

Examples and unit check

Example 1
If you share 12 marbles equally among 3 people, how many does each person get?
1
Share all 12 equally into 3 groups.
2
12 ÷ 3 = 4, so each person gets 4.
▸ 4 marbles
Division splits a total into equal groups.
Example 2
If you put 17 candies into groups of 5, how many groups do you get, and how many are left over?
1
See how many 5s fit into 17: 5, 10, 15 → 3 times.
2
5 × 3 = 15 and 17 − 15 = 2, so 17 ÷ 5 = 3 R 2.
▸ 3 groups, 2 left over
The remainder is always smaller than the number you divide by (5).
Unit check
Using 4 × 6 = 24, what is 24 ÷ 6?
①3
②4
③5
④6
▸ ② 4
1
Think of the multiplication backward: if 4 × 6 = 24, then 24 ÷ 6 = 4.
2
So 24 ÷ 6 = 4.
← Previous
Multiplication
Next →
Introduction to Fractions

Last updated