To divide 902 by 11, we can use long division. Here are the steps:
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Set up the division: Write 902 under the long division symbol and 11 outside.
____ 11 | 902
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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.
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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 \( 11 \times 8 = 88 \).
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Subtract: Write 8 above the division bar, and multiply 8 by 11 (which equals 88). Subtract 88 from 90:
8 ____ 11 | 902 - 88 __ 2
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Bring down the next digit: Now, bring down the next digit (which is 2 from 902), making the number now 22.
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Divide again: Determine how many times 11 fits into 22. It fits exactly 2 times, since \( 11 \times 2 = 22 \).
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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
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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.