Division in maths is a way of sharing or grouping numbers into equal parts.
Q.1: Divide 48 by 6.
- First digit of quotient: 4 (since 48 ÷ 6 ≈ 4).
- Multiply 4 × 6 = 24, subtract from 48 to get 24.
- Bring down 0 (as 48 is fully used), quotient is 8.
- Remainder: 0.
Ans: Quotient = 8, Remainder = 0.
Q.2: Divide 72 by 9.
- First digit of quotient: 7 (since 72 ÷ 9 ≈ 7).
- Multiply 7 × 9 = 63, subtract from 72 to get 9.
- Bring down 0, quotient is 8.
- Remainder: 0.
Ans: Quotient = 8, Remainder = 0.
Q.3: Divide 54 by 6.
- First digit of quotient: 5 (since 54 ÷ 6 ≈ 5).
- Multiply 5 × 6 = 30, subtract from 54 to get 24.
- Bring down 0, quotient is 9.
- Remainder: 0.
Ans: Quotient = 9, Remainder = 0.
Q.4: Divide 36 by 4.
- First digit of quotient: 3 (since 36 ÷ 4 ≈ 3).
- Multiply 3 × 4 = 12, subtract from 36 to get 24.
- Bring down 0, quotient is 9.
- Remainder: 0.
Ans: Quotient = 9, Remainder = 0.
Q.5: Divide 85 by 7.
- First digit of quotient: 1 (since 85 ÷ 7 ≈ 12).
- Multiply 1 × 7 = 7, subtract from 8 to get 1.
- Bring down 5 to get 15.
- Next digit of quotient: 2 (since 15 ÷ 7 ≈ 2).
- Multiply 2 × 7 = 14, subtract from 15 to get 1.
- Remainder is 1, quotient is 12.
Ans: Quotient = 12, Remainder = 1.
Q.6: Divide 97 by 8.
- First digit of quotient: 1 (since 97 ÷ 8 ≈ 12).
- Multiply 1 × 8 = 8, subtract from 9 to get 1.
- Bring down 7 to get 17.
- Next digit of quotient: 2 (since 17 ÷ 8 ≈ 2).
- Multiply 2 × 8 = 16, subtract from 17 to get 1.
- Remainder is 1, quotient is 12.
Ans: Quotient = 12, Remainder = 1.
Q.7: Divide 67 by 5.
- First digit of quotient: 1 (since 67 ÷ 5 ≈ 13).
- Multiply 1 × 5 = 5, subtract from 6 to get 1.
- Bring down 7 to get 17.
- Next digit of quotient: 3 (since 17 ÷ 5 ≈ 3).
- Multiply 3 × 5 = 15, subtract from 17 to get 2.
- Remainder is 2, quotient is 13.
Ans: Quotient = 13, Remainder = 2.
Q.8: Divide 79 by 6.
- First digit of quotient: 1 (since 79 ÷ 6 ≈ 13).
- Multiply 1 × 6 = 6, subtract from 7 to get 1.
- Bring down 9 to get 19.
- Next digit of quotient: 3 (since 19 ÷ 6 ≈ 3).
- Multiply 3 × 6 = 18, subtract from 19 to get 1.
- Remainder is 1, quotient is 13.
Ans: Quotient = 13, Remainder = 1.
Q.9: Divide 156 by 12.
- First digit of quotient: 1 (since 156 ÷ 12 ≈ 13).
- Multiply 1 × 12 = 12, subtract from 15 to get 3.
- Bring down 6 to get 36.
- Next digit of quotient: 3 (since 36 ÷ 12 = 3).
- Multiply 3 × 12 = 36, subtract from 36 to get 0.
- Remainder is 0, quotient is 13.
Ans: Quotient = 13, Remainder = 0.
Q.10: Divide 245 by 11.
- First digit of quotient: 2 (since 24 ÷ 11 ≈ 2).
- Multiply 2 × 11 = 22, subtract from 24 to get 2.
- Bring down 5 to get 25.
- Next digit of quotient: 2 (since 25 ÷ 11 ≈ 2).
- Multiply 2 × 11 = 22, subtract from 25 to get 3.
- Remainder is 3, quotient is 22.
Ans: Quotient = 22, Remainder = 3.
Q.11: Divide 189 by 15.
- First digit of quotient: 1 (since 18 ÷ 15 ≈ 1).
- Multiply 1 × 15 = 15, subtract from 18 to get 3.
- Bring down 9 to get 39.
- Next digit of quotient: 2 (since 39 ÷ 15 ≈ 2).
- Multiply 2 × 15 = 30, subtract from 39 to get 9.
- Remainder is 9, quotient is 12.
Ans: Quotient = 12, Remainder = 9.
Q.12: Divide 272 by 13.
- First digit of quotient: 2 (since 27 ÷ 13 ≈ 2).
- Multiply 2 × 13 = 26, subtract from 27 to get 1.
- Bring down 2 to get 12.
- Next digit of quotient: 0 (since 12 < 13).
- Remainder is 12, quotient is 20.
Ans: Quotient = 20, Remainder = 12.
Q.13: Divide 324 by 9.
- First digit of quotient: 3 (since 32 ÷ 9 ≈ 3).
- Multiply 3 × 9 = 27, subtract from 32 to get 5.
- Bring down 4 to get 54.
- Next digit of quotient: 6 (since 54 ÷ 9 = 6).
- Multiply 6 × 9 = 54, subtract from 54 to get 0.
- Remainder is 0, quotient is 36.
Ans: Quotient = 36, Remainder = 0.
Q.14: Divide 467 by 8.
- First digit of quotient: 5 (since 46 ÷ 8 ≈ 5).
- Multiply 5 × 8 = 40, subtract from 46 to get 6.
- Bring down 7 to get 67.
- Next digit of quotient: 8 (since 67 ÷ 8 ≈ 8).
- Multiply 8 × 8 = 64, subtract from 67 to get 3.
- Remainder is 3, quotient is 58.
Ans: Quotient = 58, Remainder = 3.
Q.15: Divide 512 by 7.
- First digit of quotient: 7 (since 51 ÷ 7 ≈ 7).
- Multiply 7 × 7 = 49, subtract from 51 to get 2.
- Bring down 2 to get 22.
- Next digit of quotient: 3 (since 22 ÷ 7 ≈ 3).
- Multiply 3 × 7 = 21, subtract from 22 to get 1.
- Remainder is 1, quotient is 73.
Ans: Quotient = 73, Remainder = 1.
Q.16: Divide 389 by 12.
- First digit of quotient: 3 (since 38 ÷ 12 ≈ 3).
- Multiply 3 × 12 = 36, subtract from 38 to get 2.
- Bring down 9 to get 29.
- Next digit of quotient: 2 (since 29 ÷ 12 ≈ 2).
- Multiply 2 × 12 = 24, subtract from 29 to get 5.
- Remainder is 5, quotient is 32.
Ans: Quotient = 32, Remainder = 5.
Q.17: A farmer has 96 apples to pack into boxes, with each box holding 8 apples. How many boxes can he fill completely, and how many apples will be left over?
Divide 96 by 8.
First digit of quotient: 1 (since 96 ÷ 8 ≈ 12).
Multiply 1 × 8 = 8, subtract from 9 to get 1.
Bring down 6 to get 16.
Next digit of quotient: 2 (since 16 ÷ 8 = 2).
Multiply 2 × 8 = 16, subtract from 16 to get 0.
Remainder is 0, quotient is 12.
Ans: 12 boxes can be filled completely, with 0 apples left over.
Q.18: A teacher wants to distribute 75 pencils equally among 6 students. How many pencils does each student get, and how many pencils are left undistributed?
Divide 75 by 6.
First digit of quotient: 1 (since 75 ÷ 6 ≈ 12).
Multiply 1 × 6 = 6, subtract from 7 to get 1.
Bring down 5 to get 15.
Next digit of quotient: 2 (since 15 ÷ 6 ≈ 2).
Multiply 2 × 6 = 12, subtract from 15 to get 3.
Remainder is 3, quotient is 12.
Ans: Each student gets 12 pencils, with 3 pencils left undistributed.
Q.19: A bakery bakes 120 cookies and packs them into bags of 9 cookies each. How many bags can be filled completely, and how many cookies remain?
Divide 120 by 9.
First digit of quotient: 1 (since 12 ÷ 9 ≈ 1).
Multiply 1 × 9 = 9, subtract from 12 to get 3.
Bring down 0 to get 30.
Next digit of quotient: 3 (since 30 ÷ 9 ≈ 3).
Multiply 3 × 9 = 27, subtract from 30 to get 3.
Remainder is 3, quotient is 13.
Ans: 13 bags can be filled completely, with 3 cookies remaining.
Q.20: A group of 154 students is to be seated in rows of 12 chairs. How many rows can be fully occupied, and how many students will not have a seat in a full row?
Divide 154 by 12.
First digit of quotient: 1 (since 15 ÷ 12 ≈ 1).
Multiply 1 × 12 = 12, subtract from 15 to get 3.
Bring down 4 to get 34.
Next digit of quotient: 2 (since 34 ÷ 12 ≈ 2).
Multiply 2 × 12 = 24, subtract from 34 to get 10.
Remainder is 10, quotient is 12.
Ans: 12 rows can be fully occupied, with 10 students not seated in a full row.
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