Division by 6, 7, 8 and 9
After learning to divide by 2, 3, 4, and 5, you move to dividing by 6, 7, 8, and 9. These use the higher multiplication tables.
The method is the same: think of the multiplication table of the divisor and find the matching fact. With practice, these become just as easy.
What is Division by 6, 7, 8 and 9 - Class 3 Maths (Division)?
To divide by 6, 7, 8, or 9, ask yourself: "Divisor × what number = Dividend?"
Dividend ÷ Divisor = Quotient ⟺ Divisor × Quotient = Dividend
Types and Properties
Key division facts:
| ÷ 6 | ÷ 7 | ÷ 8 | ÷ 9 |
|---|---|---|---|
| 6 ÷ 6 = 1 | 7 ÷ 7 = 1 | 8 ÷ 8 = 1 | 9 ÷ 9 = 1 |
| 12 ÷ 6 = 2 | 14 ÷ 7 = 2 | 16 ÷ 8 = 2 | 18 ÷ 9 = 2 |
| 18 ÷ 6 = 3 | 21 ÷ 7 = 3 | 24 ÷ 8 = 3 | 27 ÷ 9 = 3 |
| 24 ÷ 6 = 4 | 28 ÷ 7 = 4 | 32 ÷ 8 = 4 | 36 ÷ 9 = 4 |
| 30 ÷ 6 = 5 | 35 ÷ 7 = 5 | 40 ÷ 8 = 5 | 45 ÷ 9 = 5 |
| 36 ÷ 6 = 6 | 42 ÷ 7 = 6 | 48 ÷ 8 = 6 | 54 ÷ 9 = 6 |
| 42 ÷ 6 = 7 | 49 ÷ 7 = 7 | 56 ÷ 8 = 7 | 63 ÷ 9 = 7 |
| 48 ÷ 6 = 8 | 56 ÷ 7 = 8 | 64 ÷ 8 = 8 | 72 ÷ 9 = 8 |
| 54 ÷ 6 = 9 | 63 ÷ 7 = 9 | 72 ÷ 8 = 9 | 81 ÷ 9 = 9 |
Solved Examples
Example 1: Divide by 6
Question: Find 42 ÷ 6.
Think:
- 6 × ? = 42
- 6 × 7 = 42
Answer: 42 ÷ 6 = 7.
Example 2: Divide by 6 — Word Problem
Question: Ria has 36 colour pencils. She puts 6 in each box. How many boxes does she fill?
Think:
- 36 ÷ 6 = 6
Answer: She fills 6 boxes.
Example 3: Divide by 7
Question: Find 56 ÷ 7.
Think:
- 7 × 8 = 56
Answer: 56 ÷ 7 = 8.
Example 4: Divide by 7 — Word Problem
Question: A week has 7 days. How many complete weeks are there in 49 days?
Think:
- 49 ÷ 7 = 7
Answer: There are 7 complete weeks in 49 days.
Example 5: Divide by 8
Question: Find 64 ÷ 8.
Think:
- 8 × 8 = 64
Answer: 64 ÷ 8 = 8.
Example 6: Divide by 8 — Word Problem
Question: Kavi has 48 cricket balls. He puts 8 balls in each bag. How many bags does he need?
Think:
- 48 ÷ 8 = 6
Answer: Kavi needs 6 bags.
Example 7: Divide by 9
Question: Find 81 ÷ 9.
Think:
- 9 × 9 = 81
Answer: 81 ÷ 9 = 9.
Example 8: Divide by 9 — Word Problem
Question: Priya arranges 54 books in 9 equal stacks. How many books in each stack?
Think:
- 54 ÷ 9 = 6
Answer: Each stack has 6 books.
Example 9: Mixed — Find the Missing Number
Question: ___ ÷ 8 = 7. Find the missing number.
Think:
- 8 × 7 = 56
- So 56 ÷ 8 = 7
Answer: The missing number is 56.
Key Points to Remember
- Use the multiplication table of the divisor to find the quotient.
- Divisor × Quotient = Dividend — this is the checking rule.
- Knowing tables of 6, 7, 8, and 9 well makes division fast.
- 49 ÷ 7 = 7 and 64 ÷ 8 = 8 are perfect square facts — remember them.
- If the dividend is not in the table, there will be a remainder.
- Practice division facts daily to build speed.
Practice Problems
- Find 48 ÷ 6.
- Find 63 ÷ 7.
- Find 72 ÷ 8.
- Find 45 ÷ 9.
- Neha has 54 flowers and makes 6 equal garlands. How many flowers in each garland?
- There are 35 students. The teacher makes teams of 7. How many teams?
- Dev buys 72 sweets and packs them in bags of 9. How many bags does he fill?
Frequently Asked Questions
Q1. How do I divide by 6 quickly?
Use the 6-times table backwards. Think: 6 × what = dividend? For 30 ÷ 6, you know 6 × 5 = 30, so the answer is 5.
Q2. Why is dividing by 7 considered harder?
The 7-times table does not have simple patterns like 2 or 5. You need to memorise the facts. With practice, it becomes easy.
Q3. Is there a trick for dividing by 8?
You can halve three times. For 40 ÷ 8: half of 40 = 20, half of 20 = 10, half of 10 = 5. So 40 ÷ 8 = 5.
Q4. Is there a trick for dividing by 9?
For small dividends, the digit sum trick helps. The digits of multiples of 9 always add up to 9 (e.g., 27 → 2 + 7 = 9, 36 → 3 + 6 = 9).
Q5. What if the number does not divide evenly?
Then there is a remainder. For example, 50 ÷ 7 = 7 remainder 1, because 7 × 7 = 49, and 50 − 49 = 1.
Q6. How do I check my answer?
Multiply the quotient by the divisor. If you get the dividend, the answer is correct. For 63 ÷ 9 = 7: check 9 × 7 = 63.
Q7. Do I need to memorise all these division facts?
Knowing multiplication tables from 2 to 9 well is enough. Division facts follow directly from them.
Q8. Is this covered in NCERT Class 3?
Yes. NCERT Class 3 Maths covers division by single-digit numbers up to 9, using multiplication tables and word problems.
