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Solve the following division problems: a) 925 ÷ 2, b) 457 ÷ 7, c) 596 ÷ 3, d) 338 ÷ 8.

Mathematics

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25 steps

Here are the solutions to the division problems and the word problem:

Part a· 3 steps

925÷2925 \div 2

  1. Divide 9 by 2.

    9÷2=4 with a remainder of 19 \div 2 = 4 \text{ with a remainder of } 1

  2. Bring down the next digit, 2, to make 12.

    Divide 12 by 2.

    12÷2=6 with a remainder of 012 \div 2 = 6 \text{ with a remainder of } 0

  3. Bring down the next digit, 5, to make 5.

    Divide 5 by 2.

    5÷2=2 with a remainder of 15 \div 2 = 2 \text{ with a remainder of } 1

    The quotient is 462 and the remainder is 1.

    462 remainder 1\boxed{\text{462 remainder 1}}

Part b· 2 steps

457÷7457 \div 7

  1. Divide 45 by 7.

    45÷7=6 with a remainder of 3(7×6=42)45 \div 7 = 6 \text{ with a remainder of } 3 \quad (7 \times 6 = 42)

  2. Bring down the next digit, 7, to make 37.

    Divide 37 by 7.

    37÷7=5 with a remainder of 2(7×5=35)37 \div 7 = 5 \text{ with a remainder of } 2 \quad (7 \times 5 = 35)

    The quotient is 65 and the remainder is 2.

    65 remainder 2\boxed{\text{65 remainder 2}}

Part c· 3 steps

596÷3596 \div 3

  1. Divide 5 by 3.

    5÷3=1 with a remainder of 25 \div 3 = 1 \text{ with a remainder of } 2

  2. Bring down the next digit, 9, to make 29.

    Divide 29 by 3.

    29÷3=9 with a remainder of 2(3×9=27)29 \div 3 = 9 \text{ with a remainder of } 2 \quad (3 \times 9 = 27)

  3. Bring down the next digit, 6, to make 26.

    Divide 26 by 3.

    26÷3=8 with a remainder of 2(3×8=24)26 \div 3 = 8 \text{ with a remainder of } 2 \quad (3 \times 8 = 24)

    The quotient is 198 and the remainder is 2.

    198 remainder 2\boxed{\text{198 remainder 2}}

Part d· 2 steps

338÷8338 \div 8

  1. Divide 33 by 8.

    33÷8=4 with a remainder of 1(8×4=32)33 \div 8 = 4 \text{ with a remainder of } 1 \quad (8 \times 4 = 32)

  2. Bring down the next digit, 8, to make 18.

    Divide 18 by 8.

    18÷8=2 with a remainder of 2(8×2=16)18 \div 8 = 2 \text{ with a remainder of } 2 \quad (8 \times 2 = 16)

    The quotient is 42 and the remainder is 2.

    42 remainder 2\boxed{\text{42 remainder 2}}

Part e· 3 steps

767÷4767 \div 4

  1. Divide 7 by 4.

    7÷4=1 with a remainder of 37 \div 4 = 1 \text{ with a remainder of } 3

  2. Bring down the next digit, 6, to make 36.

    Divide 36 by 4.

    36÷4=9 with a remainder of 036 \div 4 = 9 \text{ with a remainder of } 0

  3. Bring down the next digit, 7, to make 7.

    Divide 7 by 4.

    7÷4=1 with a remainder of 37 \div 4 = 1 \text{ with a remainder of } 3

    The quotient is 191 and the remainder is 3.

    191 remainder 3\boxed{\text{191 remainder 3}}

Part f· 2 steps

806÷9806 \div 9

  1. Divide 80 by 9.

    80÷9=8 with a remainder of 8(9×8=72)80 \div 9 = 8 \text{ with a remainder of } 8 \quad (9 \times 8 = 72)

  2. Bring down the next digit, 6, to make 86.

    Divide 86 by 9.

    86÷9=9 with a remainder of 5(9×9=81)86 \div 9 = 9 \text{ with a remainder of } 5 \quad (9 \times 9 = 81)

    The quotient is 89 and the remainder is 5.

    89 remainder 5\boxed{\text{89 remainder 5}}

Part g· 3 steps

649÷5649 \div 5

  1. Divide 6 by 5.

    6÷5=1 with a remainder of 16 \div 5 = 1 \text{ with a remainder of } 1

  2. Bring down the next digit, 4, to make 14.

    Divide 14 by 5.

    14÷5=2 with a remainder of 4(5×2=10)14 \div 5 = 2 \text{ with a remainder of } 4 \quad (5 \times 2 = 10)

  3. Bring down the next digit, 9, to make 49.

    Divide 49 by 5.

    49÷5=9 with a remainder of 4(5×9=45)49 \div 5 = 9 \text{ with a remainder of } 4 \quad (5 \times 9 = 45)

    The quotient is 129 and the remainder is 4.

    129 remainder 4\boxed{\text{129 remainder 4}}

Part h· 2 steps

179÷8179 \div 8

  1. Divide 17 by 8.

    17÷8=2 with a remainder of 1(8×2=16)17 \div 8 = 2 \text{ with a remainder of } 1 \quad (8 \times 2 = 16)

  2. Bring down the next digit, 9, to make 19.

    Divide 19 by 8.

    19÷8=2 with a remainder of 3(8×2=16)19 \div 8 = 2 \text{ with a remainder of } 3 \quad (8 \times 2 = 16)

    The quotient is 22 and the remainder is 3.

    22 remainder 3\boxed{\text{22 remainder 3}}

Part h(i)· 5 steps

285÷6285 \div 6

  1. Divide 28 by 6.

    28÷6=4 with a remainder of 4(6×4=24)28 \div 6 = 4 \text{ with a remainder of } 4 \quad (6 \times 4 = 24)

  2. Bring down the next digit, 5, to make 45.

    Divide 45 by 6.

    45÷6=7 with a remainder of 3(6×7=42)45 \div 6 = 7 \text{ with a remainder of } 3 \quad (6 \times 7 = 42)

    The quotient is 47 and the remainder is 3.

    47 remainder 3\boxed{\text{47 remainder 3}}

    Sharing the money

  3. Identify the total amount and the number of children.

    Total money = R350
    Number of children = 4

  4. Divide the total money by the number of children to find out how much each child received and the remainder.

    350÷4350 \div 4

  5. Perform the division.

    350÷4=87 with a remainder of 2350 \div 4 = 87 \text{ with a remainder of } 2

    This means each child received R87, and there were R2 left over.

    The amount of rands that remained is the remainder from the division.

    R2 remained\boxed{\text{R2 remained}}
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