902 divided by 11 show your WORK:)

1 answer

To divide 902 by 11, we can use long division. Here are the steps:

  1. Set up the division: Write 902 under the long division symbol and 11 outside.

        ____
    11 | 902
    
  2. Divide the first digit: See how many times 11 fits into the first digit (which is 9). It fits 0 times, since 11 is greater than 9.

  3. Consider the first two digits: Now, consider the first two digits (90). Determine how many times 11 fits into 90.

    • 11 fits into 90 about 8 times, since \( 11 \times 8 = 88 \).
  4. Subtract: Write 8 above the division bar, and multiply 8 by 11 (which equals 88). Subtract 88 from 90:

        8
       ____
    11 | 902
         - 88
         __
          2
    
  5. Bring down the next digit: Now, bring down the next digit (which is 2 from 902), making the number now 22.

  6. Divide again: Determine how many times 11 fits into 22. It fits exactly 2 times, since \( 11 \times 2 = 22 \).

  7. Subtract again: Write 2 above the division bar next to the 8 (making it 82), then multiply 2 by 11 (which is 22) and subtract:

        82
       ____
    11 | 902
         - 88
         __
          22
         - 22
         __
           0
    
  8. Complete the division: Now, there are no more digits to bring down, and the remainder is 0.

So, \( 902 \div 11 = 82 \).

Final answer: 82.

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