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Solve the following division problems showing your steps: a) 654 ", b) 505 ", c) 722 ", d) 299 ", e) 190 "

Mathematics

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Step-by-step solution

14 steps

Here are the solutions to the math problems:

1. Division problems

*a) 654÷3654 \div 3

  1. Divide 6 by 3.

    6÷3=26 \div 3 = 2
  2. Divide 5 by 3.

    5÷3=1 remainder 25 \div 3 = 1 \text{ remainder } 2
  3. Combine the remainder 2 with the next digit 4 to make 24.

    Divide 24 by 3.

    24÷3=824 \div 3 = 8

    The result is 218\boxed{\text{}218\text{}}

    *b) 505÷4505 \div 4

  4. Divide 5 by 4.

    5÷4=1 remainder 15 \div 4 = 1 \text{ remainder } 1
  5. Combine the remainder 1 with the next digit 0 to make 10.

    Divide 10 by 4.

    10÷4=2 remainder 210 \div 4 = 2 \text{ remainder } 2
  6. Combine the remainder 2 with the next digit 5 to make 25.

    Divide 25 by 4.

    25÷4=6 remainder 125 \div 4 = 6 \text{ remainder } 1

    The result is 126 remainder 1\boxed{\text{}126 \text{ remainder } 1\text{}}

    *c) 722÷8722 \div 8

  7. Divide 72 by 8.

    72÷8=972 \div 8 = 9
  8. Divide 2 by 8.

    2÷8=0 remainder 22 \div 8 = 0 \text{ remainder } 2

    The result is 90 remainder 2\boxed{\text{}90 \text{ remainder } 2\text{}}

    *d) 299÷7299 \div 7

  9. Divide 29 by 7.

    29÷7=4 remainder 129 \div 7 = 4 \text{ remainder } 1
  10. Combine the remainder 1 with the next digit 9 to make 19.

    Divide 19 by 7.

    19÷7=2 remainder 519 \div 7 = 2 \text{ remainder } 5

    The result is 42 remainder 5\boxed{\text{}42 \text{ remainder } 5\text{}}

    *e) 190÷9190 \div 9

  11. Divide 19 by 9.

    19÷9=2 remainder 119 \div 9 = 2 \text{ remainder } 1
  12. Combine the remainder 1 with the next digit 0 to make 10.

    Divide 10 by 9.

    10÷9=1 remainder 110 \div 9 = 1 \text{ remainder } 1

    The result is 21 remainder 1\boxed{\text{}21 \text{ remainder } 1\text{}}

    *f) 529÷6529 \div 6

  13. Divide 52 by 6.

    52÷6=8 remainder 452 \div 6 = 8 \text{ remainder } 4
  14. Combine the remainder 4 with the next digit 9 to make 49.

    Divide 49 by 6.

    49÷6=8 remainder 149 \div 6 = 8 \text{ remainder } 1

    The result is 88 remainder 1\boxed{\text{}88 \text{ remainder } 1\text{}}

    2. Fill in the missing numbers.

    *a) □÷7=6\square \div 7 = 6
    To find the missing number, multiply 7 by 6.

    □=7×6=42\square = 7 \times 6 = \boxed{\text{}42\text{}}

    *b) □÷8=3\square \div 8 = 3
    To find the missing number, multiply 8 by 3.

    □=8×3=24\square = 8 \times 3 = \boxed{\text{}24\text{}}

    *c) 42÷□=2142 \div \square = 21
    To find the missing number, divide 42 by 21.

    □=42÷21=2\square = 42 \div 21 = \boxed{\text{}2\text{}}

    *d) 81÷□=981 \div \square = 9
    To find the missing number, divide 81 by 9.

    □=81÷9=9\square = 81 \div 9 = \boxed{\text{}9\text{}}

    *e) □÷9=6\square \div 9 = 6
    To find the missing number, multiply 9 by 6.

    □=9×6=54\square = 9 \times 6 = \boxed{\text{}54\text{}}

    *f) □÷6=13\square \div 6 = 13
    To find the missing number, multiply 6 by 13.

    □=6×13=78\square = 6 \times 13 = \boxed{\text{}78\text{}}

    *g) 72÷□=872 \div \square = 8
    To find the missing number, divide 72 by 8.

    □=72÷8=9\square = 72 \div 8 = \boxed{\text{}9\text{}}

    *h) 96÷□=2496 \div \square = 24
    To find the missing number, divide 96 by 24.

    □=96÷24=4\square = 96 \div 24 = \boxed{\text{}4\text{}}
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