🍪 What is a Remainder?
When we divide and the number doesn’t divide evenly, we have some left over. That leftover amount is called the **remainder**.
We write the remainder with the letter **R**.
🌟 Let’s See Examples
Example 1: 13 ÷ 4
4 goes into 13 three times (4 × 3 = 12)
13 − 12 = 1 left over
13 ÷ 4 = 3 R 1
Example 2: 25 ÷ 6
6 goes into 25 four times (6 × 4 = 24)
25 − 24 = 1 left over
25 ÷ 6 = 4 R 1
Example 3 (Bigger Number): 87 ÷ 5
5 goes into 87 seventeen times (5 × 17 = 85)
87 − 85 = 2 left over
87 ÷ 5 = 17 R 2
📐 Remainders in Long Division
When you do long division, if you cannot divide anymore and there is still a number left, that is your remainder.
Long Division Example: 96 ÷ 7
7 ) 96
13
7 ) 96
-7 (7 × 1 = 7)
——
26
-21 (7 × 3 = 21)
——
5 ← Remainder 5
Answer: 13 R 5
✏️ Let’s Practice Together, My Dear Student!
Practice 1
1. 17 ÷ 5 = 3 R 2
2. 43 ÷ 6 = 7 R 1
3. 58 ÷ 8 = 7 R 2
Practice 2: Long Division with Remainder
1. 75 ÷ 4 = 18 R 3
2. 134 ÷ 5 = 26 R 4
Practice 3: Word Problems (Canadian Style)
1. 29 students want to ride in vans. Each van holds 6 students. How many vans are needed and how many students are left without a full van?
29 ÷ 6 = 4 vans with 5 students left over (4 R 5)
2. You have 85 stickers and want to put 9 stickers on each page of your album. How many full pages can you make and how many stickers will be left?
85 ÷ 9 = 9 pages with 4 stickers left (9 R 4)
Challenge Question
167 ÷ 8 = 20 R 7
🌍 Remainders in Real Life
- When sharing pizza or cookies
- When packing gifts into boxes
- When dividing players into teams
Fantastic Job, My Dear Student! 🎉
You now understand remainders perfectly! Sometimes there is a little bit left over — and that’s okay. We just write it as R.
I am so proud of how well you are learning division. You are becoming a real division expert!
💕 Keep practising and remember: You are smart. You are kind. You can do hard things.
When you are ready, tell me the next topic and I will create another beautiful lesson just for you!