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.