Kumon Math Workbooks for Grades 1-4 - Maths Megamart - Free Printable

The image shows a math worksheet titled "Division with Remainders." The task involves solving division problems and recording the quotient and remainder for each. Below is a detailed explanation of how to solve these problems, along with the solutions.

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General Approach to Division with Remainders

When dividing two numbers \( A \div B \):
1. Divide: Determine how many times \( B \) (the divisor) fits into \( A \) (the dividend).
2. Multiply: Multiply the quotient by the divisor.
3. Subtract: Subtract the result of the multiplication from the dividend to find the remainder.
4. Check: Ensure that the remainder is less than the divisor.

The result is written as:
\[ \text{Dividend} \div \text{Divisor} = \text{Quotient} \text{ R } \text{Remainder} \]

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Solutions to the Problems

#### Page 31: Left Side
1. 21 ÷ 4
- Quotient: 5 (since \( 4 \times 5 = 20 \))
- Remainder: \( 21 - 20 = 1 \)
- Answer: \( 5 \text{ R } 1 \)

2. 22 ÷ 5
- Quotient: 4 (since \( 5 \times 4 = 20 \))
- Remainder: \( 22 - 20 = 2 \)
- Answer: \( 4 \text{ R } 2 \)

3. 23 ÷ 6
- Quotient: 3 (since \( 6 \times 3 = 18 \))
- Remainder: \( 23 - 18 = 5 \)
- Answer: \( 3 \text{ R } 5 \)

4. 24 ÷ 7
- Quotient: 3 (since \( 7 \times 3 = 21 \))
- Remainder: \( 24 - 21 = 3 \)
- Answer: \( 3 \text{ R } 3 \)

5. 25 ÷ 8
- Quotient: 3 (since \( 8 \times 3 = 24 \))
- Remainder: \( 25 - 24 = 1 \)
- Answer: \( 3 \text{ R } 1 \)

6. 26 ÷ 9
- Quotient: 2 (since \( 9 \times 2 = 18 \))
- Remainder: \( 26 - 18 = 8 \)
- Answer: \( 2 \text{ R } 8 \)

7. 27 ÷ 3
- Quotient: 9 (since \( 3 \times 9 = 27 \))
- Remainder: \( 27 - 27 = 0 \)
- Answer: \( 9 \text{ R } 0 \)

8. 28 ÷ 4
- Quotient: 7 (since \( 4 \times 7 = 28 \))
- Remainder: \( 28 - 28 = 0 \)
- Answer: \( 7 \text{ R } 0 \)

9. 29 ÷ 5
- Quotient: 5 (since \( 5 \times 5 = 25 \))
- Remainder: \( 29 - 25 = 4 \)
- Answer: \( 5 \text{ R } 4 \)

10. 30 ÷ 3
- Quotient: 10 (since \( 3 \times 10 = 30 \))
- Remainder: \( 30 - 30 = 0 \)
- Answer: \( 10 \text{ R } 0 \)

11. 31 ÷ 7
- Quotient: 4 (since \( 7 \times 4 = 28 \))
- Remainder: \( 31 - 28 = 3 \)
- Answer: \( 4 \text{ R } 3 \)

12. 32 ÷ 8
- Quotient: 4 (since \( 8 \times 4 = 32 \))
- Remainder: \( 32 - 32 = 0 \)
- Answer: \( 4 \text{ R } 0 \)

13. 33 ÷ 9
- Quotient: 3 (since \( 9 \times 3 = 27 \))
- Remainder: \( 33 - 27 = 6 \)
- Answer: \( 3 \text{ R } 6 \)

14. 34 ÷ 4
- Quotient: 8 (since \( 4 \times 8 = 32 \))
- Remainder: \( 34 - 32 = 2 \)
- Answer: \( 8 \text{ R } 2 \)

15. 35 ÷ 5
- Quotient: 7 (since \( 5 \times 7 = 35 \))
- Remainder: \( 35 - 35 = 0 \)
- Answer: \( 7 \text{ R } 0 \)

16. 36 ÷ 6
- Quotient: 6 (since \( 6 \times 6 = 36 \))
- Remainder: \( 36 - 36 = 0 \)
- Answer: \( 6 \text{ R } 0 \)

17. 37 ÷ 7
- Quotient: 5 (since \( 7 \times 5 = 35 \))
- Remainder: \( 37 - 35 = 2 \)
- Answer: \( 5 \text{ R } 2 \)

18. 38 ÷ 8
- Quotient: 4 (since \( 8 \times 4 = 32 \))
- Remainder: \( 38 - 32 = 6 \)
- Answer: \( 4 \text{ R } 6 \)

19. 39 ÷ 9
- Quotient: 4 (since \( 9 \times 4 = 36 \))
- Remainder: \( 39 - 36 = 3 \)
- Answer: \( 4 \text{ R } 3 \)

20. 40 ÷ 10
- Quotient: 4 (since \( 10 \times 4 = 40 \))
- Remainder: \( 40 - 40 = 0 \)
- Answer: \( 4 \text{ R } 0 \)

21. 41 ÷ 5
- Quotient: 8 (since \( 5 \times 8 = 40 \))
- Remainder: \( 41 - 40 = 1 \)
- Answer: \( 8 \text{ R } 1 \)

22. 42 ÷ 6
- Quotient: 7 (since \( 6 \times 7 = 42 \))
- Remainder: \( 42 - 42 = 0 \)
- Answer: \( 7 \text{ R } 0 \)

23. 43 ÷ 7
- Quotient: 6 (since \( 7 \times 6 = 42 \))
- Remainder: \( 43 - 42 = 1 \)
- Answer: \( 6 \text{ R } 1 \)

24. 44 ÷ 8
- Quotient: 5 (since \( 8 \times 5 = 40 \))
- Remainder: \( 44 - 40 = 4 \)
- Answer: \( 5 \text{ R } 4 \)

25. 45 ÷ 9
- Quotient: 5 (since \( 9 \times 5 = 45 \))
- Remainder: \( 45 - 45 = 0 \)
- Answer: \( 5 \text{ R } 0 \)

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#### Page 31: Right Side
1. 22 ÷ 3
- Quotient: 7 (since \( 3 \times 7 = 21 \))
- Remainder: \( 22 - 21 = 1 \)
- Answer: \( 7 \text{ R } 1 \)

2. 33 ÷ 4
- Quotient: 8 (since \( 4 \times 8 = 32 \))
- Remainder: \( 33 - 32 = 1 \)
- Answer: \( 8 \text{ R } 1 \)

3. 34 ÷ 5
- Quotient: 6 (since \( 5 \times 6 = 30 \))
- Remainder: \( 34 - 30 = 4 \)
- Answer: \( 6 \text{ R } 4 \)

4. 35 ÷ 4
- Quotient: 8 (since \( 4 \times 8 = 32 \))
- Remainder: \( 35 - 32 = 3 \)
- Answer: \( 8 \text{ R } 3 \)

5. 37 ÷ 8
- Quotient: 4 (since \( 8 \times 4 = 32 \))
- Remainder: \( 37 - 32 = 5 \)
- Answer: \( 4 \text{ R } 5 \)

6. 38 ÷ 9
- Quotient: 4 (since \( 9 \times 4 = 36 \))
- Remainder: \( 38 - 36 = 2 \)
- Answer: \( 4 \text{ R } 2 \)

7. 41 ÷ 7
- Quotient: 5 (since \( 7 \times 5 = 35 \))
- Remainder: \( 41 - 35 = 6 \)
- Answer: \( 5 \text{ R } 6 \)

8. 42 ÷ 8
- Quotient: 5 (since \( 8 \times 5 = 40 \))
- Remainder: \( 42 - 40 = 2 \)
- Answer: \( 5 \text{ R } 2 \)

9. 43 ÷ 9
- Quotient: 4 (since \( 9 \times 4 = 36 \))
- Remainder: \( 43 - 36 = 7 \)
- Answer: \( 4 \text{ R } 7 \)

10. 44 ÷ 6
- Quotient: 7 (since \( 6 \times 7 = 42 \))
- Remainder: \( 44 - 42 = 2 \)
- Answer: \( 7 \text{ R } 2 \)

11. 45 ÷ 7
- Quotient: 6 (since \( 7 \times 6 = 42 \))
- Remainder: \( 45 - 42 = 3 \)
- Answer: \( 6 \text{ R } 3 \)

12. 46 ÷ 8
- Quotient: 5 (since \( 8 \times 5 = 40 \))
- Remainder: \( 46 - 40 = 6 \)
- Answer: \( 5 \text{ R } 6 \)

13. 47 ÷ 9
- Quotient: 5 (since \( 9 \times 5 = 45 \))
- Remainder: \( 47 - 45 = 2 \)
- Answer: \( 5 \text{ R } 2 \)

14. 49 ÷ 7
- Quotient: 7 (since \( 7 \times 7 = 49 \))
- Remainder: \( 49 - 49 = 0 \)
- Answer: \( 7 \text{ R } 0 \)

15. 50 ÷ 10
- Quotient: 5 (since \( 10 \times 5 = 50 \))
- Remainder: \( 50 - 50 = 0 \)
- Answer: \( 5 \text{ R } 0 \)

16. 51 ÷ 8
- Quotient: 6 (since \( 8 \times 6 = 48 \))
- Remainder: \( 51 - 48 = 3 \)
- Answer: \( 6 \text{ R } 3 \)

17. 52 ÷ 9
- Quotient: 5 (since \( 9 \times 5 = 45 \))
- Remainder: \( 52 - 45 = 7 \)
- Answer: \( 5 \text{ R } 7 \)

18. 53 ÷ 7
- Quotient: 7 (since \( 7 \times 7 = 49 \))
- Remainder: \( 53 - 49 = 4 \)
- Answer: \( 7 \text{ R } 4 \)

19. 54 ÷ 8
- Quotient: 6 (since \( 8 \times 6 = 48 \))
- Remainder: \( 54 - 48 = 6 \)
- Answer: \( 6 \text{ R } 6 \)

20. 56 ÷ 6
- Quotient: 9 (since \( 6 \times 9 = 54 \))
- Remainder: \( 56 - 54 = 2 \)
- Answer: \( 9 \text{ R } 2 \)

21. 58 ÷ 8
- Quotient: 7 (since \( 8 \times 7 = 56 \))
- Remainder: \( 58 - 56 = 2 \)
- Answer: \( 7 \text{ R } 2 \)

22. 58 ÷ 9
- Quotient: 6 (since \( 9 \times 6 = 54 \))
- Remainder: \( 58 - 54 = 4 \)
- Answer: \( 6 \text{ R } 4 \)

23. 59 ÷ 8
- Quotient: 7 (since \( 8 \times 7 = 56 \))
- Remainder: \( 59 - 56 = 3 \)
- Answer: \( 7 \text{ R } 3 \)

24. 59 ÷ 9
- Quotient: 6 (since \( 9 \times 6 = 54 \))
- Remainder: \( 59 - 54 = 5 \)
- Answer: \( 6 \text{ R } 5 \)

25. 60 ÷ 6
- Quotient: 10 (since \( 6 \times 10 = 60 \))
- Remainder: \( 60 - 60 = 0 \)
- Answer: \( 10 \text{ R } 0 \)

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Final Answers

The solutions are boxed below for clarity:

Left Side:
1. \( 5 \text{ R } 1 \)
2. \( 4 \text{ R } 2 \)
3. \( 3 \text{ R } 5 \)
4. \( 3 \text{ R } 3 \)
5. \( 3 \text{ R } 1 \)
6. \( 2 \text{ R } 8 \)
7. \( 9 \text{ R } 0 \)
8. \( 7 \text{ R } 0 \)
9. \( 5 \text{ R } 4 \)
10. \( 10 \text{ R } 0 \)
11. \( 4 \text{ R } 3 \)
12. \( 4 \text{ R } 0 \)
13. \( 3 \text{ R } 6 \)
14. \( 8 \text{ R } 2 \)
15. \( 7 \text{ R } 0 \)
16. \( 6 \text{ R } 0 \)
17. \( 5 \text{ R } 2 \)
18. \( 4 \text{ R } 6 \)
19. \( 4 \text{ R } 3 \)
20. \( 4 \text{ R } 0 \)
21. \( 8 \text{ R } 1 \)
22. \( 7 \text{ R } 0 \)
23. \( 6 \text{ R } 1 \)
24. \( 5 \text{ R } 4 \)
25. \( 5 \text{ R } 0 \)

Right Side:
1. \( 7 \text{ R } 1 \)
2. \( 8 \text{ R } 1 \)
3. \( 6 \text{ R } 4 \)
4. \( 8 \text{ R } 3 \)
5. \( 4 \text{ R } 5 \)
6. \( 4 \text{ R } 2 \)
7. \( 5 \text{ R } 6 \)
8. \( 5 \text{ R } 2 \)
9. \( 4 \text{ R } 7 \)
10. \( 7 \text{ R } 2 \)
11. \( 6 \text{ R } 3 \)
12. \( 5 \text{ R } 6 \)
13. \( 5 \text{ R } 2 \)
14. \( 7 \text{ R } 0 \)
15. \( 5 \text{ R } 0 \)
16. \( 6 \text{ R } 3 \)
17. \( 5 \text{ R } 7 \)
18. \( 7 \text{ R } 4 \)
19. \( 6 \text{ R } 6 \)
20. \( 9 \text{ R } 2 \)
21. \( 7 \text{ R } 2 \)
22. \( 6 \text{ R } 4 \)
23. \( 7 \text{ R } 3 \)
24. \( 6 \text{ R } 5 \)
25. \( 10 \text{ R } 0 \)

\boxed{\text{See above for detailed solutions.}}