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Answer :
Let's solve the long division problem by dividing 4172 by 73 step-by-step:
1. Set up the problem: We're dividing 4172 by 73. Write 4172 under the division symbol and 73 outside.
2. Examine the first digits: Look at the first three digits of 4172, which is 417. Determine how many times 73 can fit into 417.
- Estimate the division: 73 goes into 417 approximately 5 times because [tex]\( 73 \times 5 = 365 \)[/tex].
- Subtract 365 from 417, which leaves a remainder of [tex]\( 417 - 365 = 52 \)[/tex].
3. Bring down the next digit: Next to the remainder (52), bring down the last digit of the dividend, which is 2, making it 522.
4. Divide 522 by 73: Now, determine how many times 73 fits into 522.
- Estimate the division: 73 goes into 522 approximately 7 times because [tex]\( 73 \times 7 = 511 \)[/tex].
- Subtract 511 from 522, which leaves a remainder of [tex]\( 522 - 511 = 11 \)[/tex].
5. Conclusion: The quotient of this division is 57 and the remainder is 11.
So, when you divide 4172 by 73, the quotient is 57 and the remainder is 11.
1. Set up the problem: We're dividing 4172 by 73. Write 4172 under the division symbol and 73 outside.
2. Examine the first digits: Look at the first three digits of 4172, which is 417. Determine how many times 73 can fit into 417.
- Estimate the division: 73 goes into 417 approximately 5 times because [tex]\( 73 \times 5 = 365 \)[/tex].
- Subtract 365 from 417, which leaves a remainder of [tex]\( 417 - 365 = 52 \)[/tex].
3. Bring down the next digit: Next to the remainder (52), bring down the last digit of the dividend, which is 2, making it 522.
4. Divide 522 by 73: Now, determine how many times 73 fits into 522.
- Estimate the division: 73 goes into 522 approximately 7 times because [tex]\( 73 \times 7 = 511 \)[/tex].
- Subtract 511 from 522, which leaves a remainder of [tex]\( 522 - 511 = 11 \)[/tex].
5. Conclusion: The quotient of this division is 57 and the remainder is 11.
So, when you divide 4172 by 73, the quotient is 57 and the remainder is 11.
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