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Worksheet Solution: Divison | Vedic Math for Junior Classes - English - Class 1 PDF Download

Division

Division in maths is a way of sharing or grouping numbers into equal parts.

Worksheet Solution: Divison | Vedic Math for Junior Classes - English - Class 1

Section 1: Single-Digit Divisors (No Remainder)

Q.1: Divide 48 by 6.

  1. First digit of quotient: 4 (since 48 ÷ 6 ≈ 4).
  2. Multiply 4 × 6 = 24, subtract from 48 to get 24.
  3. Bring down 0 (as 48 is fully used), quotient is 8.
  4. Remainder: 0.

Ans: Quotient = 8, Remainder = 0.

Q.2: Divide 72 by 9.

  1. First digit of quotient: 7 (since 72 ÷ 9 ≈ 7).
  2. Multiply 7 × 9 = 63, subtract from 72 to get 9.
  3. Bring down 0, quotient is 8.
  4. Remainder: 0.

Ans: Quotient = 8, Remainder = 0.

Q.3: Divide 54 by 6.

  1. First digit of quotient: 5 (since 54 ÷ 6 ≈ 5).
  2. Multiply 5 × 6 = 30, subtract from 54 to get 24.
  3. Bring down 0, quotient is 9.
  4. Remainder: 0.

Ans: Quotient = 9, Remainder = 0.

Q.4: Divide 36 by 4.

  1. First digit of quotient: 3 (since 36 ÷ 4 ≈ 3).
  2. Multiply 3 × 4 = 12, subtract from 36 to get 24.
  3. Bring down 0, quotient is 9.
  4. Remainder: 0.

Ans: Quotient = 9, Remainder = 0.

Section 2: Single-Digit Divisors (With Remainder)

Q.5: Divide 85 by 7.

  1. First digit of quotient: 1 (since 85 ÷ 7 ≈ 12).
  2. Multiply 1 × 7 = 7, subtract from 8 to get 1.
  3. Bring down 5 to get 15.
  4. Next digit of quotient: 2 (since 15 ÷ 7 ≈ 2).
  5. Multiply 2 × 7 = 14, subtract from 15 to get 1.
  6. Remainder is 1, quotient is 12.

Ans: Quotient = 12, Remainder = 1.

Q.6: Divide 97 by 8.

  1. First digit of quotient: 1 (since 97 ÷ 8 ≈ 12).
  2. Multiply 1 × 8 = 8, subtract from 9 to get 1.
  3. Bring down 7 to get 17.
  4. Next digit of quotient: 2 (since 17 ÷ 8 ≈ 2).
  5. Multiply 2 × 8 = 16, subtract from 17 to get 1.
  6. Remainder is 1, quotient is 12.

Ans: Quotient = 12, Remainder = 1.

Q.7: Divide 67 by 5.

  1. First digit of quotient: 1 (since 67 ÷ 5 ≈ 13).
  2. Multiply 1 × 5 = 5, subtract from 6 to get 1.
  3. Bring down 7 to get 17.
  4. Next digit of quotient: 3 (since 17 ÷ 5 ≈ 3).
  5. Multiply 3 × 5 = 15, subtract from 17 to get 2.
  6. Remainder is 2, quotient is 13.

Ans: Quotient = 13, Remainder = 2.

Q.8: Divide 79 by 6.

  1. First digit of quotient: 1 (since 79 ÷ 6 ≈ 13).
  2. Multiply 1 × 6 = 6, subtract from 7 to get 1.
  3. Bring down 9 to get 19.
  4. Next digit of quotient: 3 (since 19 ÷ 6 ≈ 3).
  5. Multiply 3 × 6 = 18, subtract from 19 to get 1.
  6. Remainder is 1, quotient is 13.

Ans: Quotient = 13, Remainder = 1.

Section 3: Two-Digit Divisors

Q.9: Divide 156 by 12.

  1. First digit of quotient: 1 (since 156 ÷ 12 ≈ 13).
  2. Multiply 1 × 12 = 12, subtract from 15 to get 3.
  3. Bring down 6 to get 36.
  4. Next digit of quotient: 3 (since 36 ÷ 12 = 3).
  5. Multiply 3 × 12 = 36, subtract from 36 to get 0.
  6. Remainder is 0, quotient is 13.

Ans: Quotient = 13, Remainder = 0.

Q.10: Divide 245 by 11.

  1. First digit of quotient: 2 (since 24 ÷ 11 ≈ 2).
  2. Multiply 2 × 11 = 22, subtract from 24 to get 2.
  3. Bring down 5 to get 25.
  4. Next digit of quotient: 2 (since 25 ÷ 11 ≈ 2).
  5. Multiply 2 × 11 = 22, subtract from 25 to get 3.
  6. Remainder is 3, quotient is 22.

Ans: Quotient = 22, Remainder = 3.

Q.11: Divide 189 by 15.

  1. First digit of quotient: 1 (since 18 ÷ 15 ≈ 1).
  2. Multiply 1 × 15 = 15, subtract from 18 to get 3.
  3. Bring down 9 to get 39.
  4. Next digit of quotient: 2 (since 39 ÷ 15 ≈ 2).
  5. Multiply 2 × 15 = 30, subtract from 39 to get 9.
  6. Remainder is 9, quotient is 12.

Ans: Quotient = 12, Remainder = 9.

Q.12: Divide 272 by 13.

  1. First digit of quotient: 2 (since 27 ÷ 13 ≈ 2).
  2. Multiply 2 × 13 = 26, subtract from 27 to get 1.
  3. Bring down 2 to get 12.
  4. Next digit of quotient: 0 (since 12 < 13).
  5. Remainder is 12, quotient is 20.

Ans: Quotient = 20, Remainder = 12.

Section 4: Three-Digit Dividends

Q.13: Divide 324 by 9.

  1. First digit of quotient: 3 (since 32 ÷ 9 ≈ 3).
  2. Multiply 3 × 9 = 27, subtract from 32 to get 5.
  3. Bring down 4 to get 54.
  4. Next digit of quotient: 6 (since 54 ÷ 9 = 6).
  5. Multiply 6 × 9 = 54, subtract from 54 to get 0.
  6. Remainder is 0, quotient is 36.

Ans: Quotient = 36, Remainder = 0.

Q.14: Divide 467 by 8.

  1. First digit of quotient: 5 (since 46 ÷ 8 ≈ 5).
  2. Multiply 5 × 8 = 40, subtract from 46 to get 6.
  3. Bring down 7 to get 67.
  4. Next digit of quotient: 8 (since 67 ÷ 8 ≈ 8).
  5. Multiply 8 × 8 = 64, subtract from 67 to get 3.
  6. Remainder is 3, quotient is 58.

Ans: Quotient = 58, Remainder = 3.

Q.15: Divide 512 by 7.

  1. First digit of quotient: 7 (since 51 ÷ 7 ≈ 7).
  2. Multiply 7 × 7 = 49, subtract from 51 to get 2.
  3. Bring down 2 to get 22.
  4. Next digit of quotient: 3 (since 22 ÷ 7 ≈ 3).
  5. Multiply 3 × 7 = 21, subtract from 22 to get 1.
  6. Remainder is 1, quotient is 73.

Ans: Quotient = 73, Remainder = 1.

Q.16: Divide 389 by 12.

  1. First digit of quotient: 3 (since 38 ÷ 12 ≈ 3).
  2. Multiply 3 × 12 = 36, subtract from 38 to get 2.
  3. Bring down 9 to get 29.
  4. Next digit of quotient: 2 (since 29 ÷ 12 ≈ 2).
  5. Multiply 2 × 12 = 24, subtract from 29 to get 5.
  6. Remainder is 5, quotient is 32.

Ans: Quotient = 32, Remainder = 5.

Section 5: Word Problems

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?

  1. Divide 96 by 8.

  2. First digit of quotient: 1 (since 96 ÷ 8 ≈ 12).

  3. Multiply 1 × 8 = 8, subtract from 9 to get 1.

  4. Bring down 6 to get 16.

  5. Next digit of quotient: 2 (since 16 ÷ 8 = 2).

  6. Multiply 2 × 8 = 16, subtract from 16 to get 0.

  7. 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?

  1. Divide 75 by 6.

  2. First digit of quotient: 1 (since 75 ÷ 6 ≈ 12).

  3. Multiply 1 × 6 = 6, subtract from 7 to get 1.

  4. Bring down 5 to get 15.

  5. Next digit of quotient: 2 (since 15 ÷ 6 ≈ 2).

  6. Multiply 2 × 6 = 12, subtract from 15 to get 3.

  7. 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?

  1. Divide 120 by 9.

  2. First digit of quotient: 1 (since 12 ÷ 9 ≈ 1).

  3. Multiply 1 × 9 = 9, subtract from 12 to get 3.

  4. Bring down 0 to get 30.

  5. Next digit of quotient: 3 (since 30 ÷ 9 ≈ 3).

  6. Multiply 3 × 9 = 27, subtract from 30 to get 3.

  7. 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?

  1. Divide 154 by 12.

  2. First digit of quotient: 1 (since 15 ÷ 12 ≈ 1).

  3. Multiply 1 × 12 = 12, subtract from 15 to get 3.

  4. Bring down 4 to get 34.

  5. Next digit of quotient: 2 (since 34 ÷ 12 ≈ 2).

  6. Multiply 2 × 12 = 24, subtract from 34 to get 10.

  7. 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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FAQs on Worksheet Solution: Divison - Vedic Math for Junior Classes - English - Class 1

1. What is the importance of division in mathematics?
Ans. Division is a fundamental mathematical operation that allows us to partition a number into equal parts. It is essential for understanding fractions, ratios, and percentages, and it also forms the basis for more complex operations in algebra and calculus.
2. How do you divide whole numbers?
Ans. To divide whole numbers, you identify how many times the divisor can fit into the dividend. You can use long division or simple division methods, depending on the numbers involved. The quotient is the result of the division, and any leftover amount is called the remainder.
3. What are the different methods to teach division to children?
Ans. Effective methods to teach division to children include using visual aids like pie charts or blocks, employing real-life examples like sharing snacks, and using number lines. Interactive games and worksheets can also make learning division more engaging for young learners.
4. How can I solve division problems involving decimals?
Ans. To solve division problems with decimals, you can convert the divisor to a whole number by moving the decimal point to the right. Do the same for the dividend, then perform the division as you would with whole numbers. Finally, place the decimal in the quotient appropriately.
5. What are some common mistakes to avoid when dividing?
Ans. Common mistakes to avoid when dividing include misplacing the decimal point, not correctly identifying the divisor and dividend, and overlooking the remainder. It’s also important to double-check calculations to ensure accuracy in the final answer.
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