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Solve the following division problems using the long division method: a) 925 0 2 b) 457 0 7 c) 596 0 3

Mathematics

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Step-by-step solution

22 steps

Here are the solutions to the division problems using the long division method:

Part a· 3 steps

925÷2925 \div 2

  1. Divide 9 by 2.

    9÷2=49 \div 2 = 4

    Write 4 in the quotient. Multiply 4×2=84 \times 2 = 8. Subtract 8 from 9: 9−8=19 - 8 = 1.

  2. Bring down 2 to make 12.

    Divide 12 by 2.

    12÷2=612 \div 2 = 6

    Write 6 in the quotient. Multiply 6×2=126 \times 2 = 12. Subtract 12 from 12: 12−12=012 - 12 = 0.

  3. Bring down 5 to make 5.

    Divide 5 by 2.

    5÷2=25 \div 2 = 2

    Write 2 in the quotient. Multiply 2×2=42 \times 2 = 4. Subtract 4 from 5: 5−4=15 - 4 = 1.
    The remainder is 1.

    462 R 1\boxed{462 \text{ R } 1}

Part b· 2 steps

457÷7457 \div 7

  1. Divide 45 by 7.

    45÷7=645 \div 7 = 6

    Write 6 in the quotient. Multiply 6×7=426 \times 7 = 42. Subtract 42 from 45: 45−42=345 - 42 = 3.

  2. Bring down 7 to make 37.

    Divide 37 by 7.

    37÷7=537 \div 7 = 5

    Write 5 in the quotient. Multiply 5×7=355 \times 7 = 35. Subtract 35 from 37: 37−35=237 - 35 = 2.
    The remainder is 2.

    65 R 2\boxed{65 \text{ R } 2}

Part c· 3 steps

596÷3596 \div 3

  1. Divide 5 by 3.

    5÷3=15 \div 3 = 1

    Write 1 in the quotient. Multiply 1×3=31 \times 3 = 3. Subtract 3 from 5: 5−3=25 - 3 = 2.

  2. Bring down 9 to make 29.

    Divide 29 by 3.

    29÷3=929 \div 3 = 9

    Write 9 in the quotient. Multiply 9×3=279 \times 3 = 27. Subtract 27 from 29: 29−27=229 - 27 = 2.

  3. Bring down 6 to make 26.

    Divide 26 by 3.

    26÷3=826 \div 3 = 8

    Write 8 in the quotient. Multiply 8×3=248 \times 3 = 24. Subtract 24 from 26: 26−24=226 - 24 = 2.
    The remainder is 2.

    198 R 2\boxed{198 \text{ R } 2}

Part d· 2 steps

338÷8338 \div 8

  1. Divide 33 by 8.

    33÷8=433 \div 8 = 4

    Write 4 in the quotient. Multiply 4×8=324 \times 8 = 32. Subtract 32 from 33: 33−32=133 - 32 = 1.

  2. Bring down 8 to make 18.

    Divide 18 by 8.

    18÷8=218 \div 8 = 2

    Write 2 in the quotient. Multiply 2×8=162 \times 8 = 16. Subtract 16 from 18: 18−16=218 - 16 = 2.
    The remainder is 2.

    42 R 2\boxed{42 \text{ R } 2}

Part e· 3 steps

767÷4767 \div 4

  1. Divide 7 by 4.

    7÷4=17 \div 4 = 1

    Write 1 in the quotient. Multiply 1×4=41 \times 4 = 4. Subtract 4 from 7: 7−4=37 - 4 = 3.

  2. Bring down 6 to make 36.

    Divide 36 by 4.

    36÷4=936 \div 4 = 9

    Write 9 in the quotient. Multiply 9×4=369 \times 4 = 36. Subtract 36 from 36: 36−36=036 - 36 = 0.

  3. Bring down 7 to make 7.

    Divide 7 by 4.

    7÷4=17 \div 4 = 1

    Write 1 in the quotient. Multiply 1×4=41 \times 4 = 4. Subtract 4 from 7: 7−4=37 - 4 = 3.
    The remainder is 3.

    191 R 3\boxed{191 \text{ R } 3}

Part f· 2 steps

806÷9806 \div 9

  1. Divide 80 by 9.

    80÷9=880 \div 9 = 8

    Write 8 in the quotient. Multiply 8×9=728 \times 9 = 72. Subtract 72 from 80: 80−72=880 - 72 = 8.

  2. Bring down 6 to make 86.

    Divide 86 by 9.

    86÷9=986 \div 9 = 9

    Write 9 in the quotient. Multiply 9×9=819 \times 9 = 81. Subtract 81 from 86: 86−81=586 - 81 = 5.
    The remainder is 5.

    89 R 5\boxed{89 \text{ R } 5}

Part g· 3 steps

649÷5649 \div 5

  1. Divide 6 by 5.

    6÷5=16 \div 5 = 1

    Write 1 in the quotient. Multiply 1×5=51 \times 5 = 5. Subtract 5 from 6: 6−5=16 - 5 = 1.

  2. Bring down 4 to make 14.

    Divide 14 by 5.

    14÷5=214 \div 5 = 2

    Write 2 in the quotient. Multiply 2×5=102 \times 5 = 10. Subtract 10 from 14: 14−10=414 - 10 = 4.

  3. Bring down 9 to make 49.

    Divide 49 by 5.

    49÷5=949 \div 5 = 9

    Write 9 in the quotient. Multiply 9×5=459 \times 5 = 45. Subtract 45 from 49: 49−45=449 - 45 = 4.
    The remainder is 4.

    129 R 4\boxed{129 \text{ R } 4}

Part h· 2 steps

179÷8179 \div 8

  1. Divide 17 by 8.

    17÷8=217 \div 8 = 2

    Write 2 in the quotient. Multiply 2×8=162 \times 8 = 16. Subtract 16 from 17: 17−16=117 - 16 = 1.

  2. Bring down 9 to make 19.

    Divide 19 by 8.

    19÷8=219 \div 8 = 2

    Write 2 in the quotient. Multiply 2×8=162 \times 8 = 16. Subtract 16 from 19: 19−16=319 - 16 = 3.
    The remainder is 3.

    22 R 3\boxed{22 \text{ R } 3}

Part h(i)· 2 steps

285÷6285 \div 6

  1. Divide 28 by 6.

    28÷6=428 \div 6 = 4

    Write 4 in the quotient. Multiply 4×6=244 \times 6 = 24. Subtract 24 from 28: 28−24=428 - 24 = 4.

  2. Bring down 5 to make 45.

    Divide 45 by 6.

    45÷6=745 \div 6 = 7

    Write 7 in the quotient. Multiply 7×6=427 \times 6 = 42. Subtract 42 from 45: 45−42=345 - 42 = 3.
    The remainder is 3.

    47 R 3\boxed{47 \text{ R } 3}
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