Math Problem Statement

Perform division calculations for each problem provided on the worksheet, which includes dividing numbers by 2-digit divisors.

Solution

Let’s solve the problems on the worksheet. I'll provide the division solutions step by step for clarity:


  1. 51÷16251 \div 162:

    • 5151 goes into 162162 three times (51×3=15351 \times 3 = 153).
    • Subtract 153153 from 162162: 162153=9162 - 153 = 9.
    • Final Answer: 162÷51=3 R 9162 \div 51 = 3 \text{ R } 9 (or 3951=33173\frac{9}{51} = 3\frac{3}{17}).
  2. 68÷10068 \div 100:

    • 6868 goes into 100100 once (68×1=6868 \times 1 = 68).
    • Subtract 6868 from 100100: 10068=32100 - 68 = 32.
    • Final Answer: 100÷68=1 R 32100 \div 68 = 1 \text{ R } 32 (or 13268=11634=18171\frac{32}{68} = 1\frac{16}{34} = 1\frac{8}{17}).
  3. 29÷28329 \div 283:

    • 2929 goes into 283283 nine times (29×9=26129 \times 9 = 261).
    • Subtract 261261 from 283283: 283261=22283 - 261 = 22.
    • Final Answer: 283÷29=9 R 22283 \div 29 = 9 \text{ R } 22 (or 922299\frac{22}{29}).
  4. 14÷7014 \div 70:

    • 1414 goes into 7070 five times (14×5=7014 \times 5 = 70).
    • Subtract 7070 from 7070: 7070=070 - 70 = 0.
    • Final Answer: 70÷14=570 \div 14 = 5.
  5. 92÷65492 \div 654:

    • 9292 goes into 654654 seven times (92×7=64492 \times 7 = 644).
    • Subtract 644644 from 654654: 654644=10654 - 644 = 10.
    • Final Answer: 654÷92=7 R 10654 \div 92 = 7 \text{ R } 10 (or 71092=75467\frac{10}{92} = 7\frac{5}{46}).
  6. 73÷61973 \div 619:

    • 7373 goes into 619619 eight times (73×8=58473 \times 8 = 584).
    • Subtract 584584 from 619619: 619584=35619 - 584 = 35.
    • Final Answer: 619÷73=8 R 35619 \div 73 = 8 \text{ R } 35 (or 835738\frac{35}{73}).
  7. 16÷6416 \div 64:

    • 1616 goes into 6464 four times (16×4=6416 \times 4 = 64).
    • Subtract 6464 from 6464: 6464=064 - 64 = 0.
    • Final Answer: 64÷16=464 \div 16 = 4.
  8. 64÷13564 \div 135:

    • 6464 goes into 135135 twice (64×2=12864 \times 2 = 128).
    • Subtract 128128 from 135135: 135128=7135 - 128 = 7.
    • Final Answer: 135÷64=2 R 7135 \div 64 = 2 \text{ R } 7 (or 27642\frac{7}{64}).

Would you like more detailed explanations for any of the steps above?


Here are 5 related questions you might find helpful:

  1. How do you convert a remainder into a fraction for division problems?
  2. What is the difference between long division and mental division techniques?
  3. How do you check the accuracy of a division problem?
  4. Can you explain how to estimate quotients in division problems?
  5. What strategies help simplify long division with large numbers?

Tip: Always double-check your work by multiplying the quotient by the divisor and adding the remainder, if applicable. It should match the dividend!

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Math Problem Analysis

Mathematical Concepts

Long Division
Fractions
Division with Remainders

Formulas

Dividend = Divisor × Quotient + Remainder
Fraction Representation = Quotient + (Remainder / Divisor)

Theorems

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Suitable Grade Level

Grades 5-7