Let's solve the division problem \( 592 \div 16 \) step-by-step to find the quotient.
1. Set up the division: We need to determine how many times 16 can fit into 592. This can be approached using long division or by recognizing patterns in division.
2. Interpret the division: To find how many 16's are in 592, we start at the leftmost digit of the dividend.
3. Long division setup:
- \( 592 \div 16 \)
4. First digit calculation:
- 16 goes into 59 (the first two digits) how many times? It fits 3 times since \( 16 \times 3 = 48 \).
- Write 3 on top.
- Subtract 48 from 59: \( 59 - 48 = 11 \).
- Bring down the next digit, which is 2, making it 112.
5. Second digit calculation:
- 16 goes into 112 how many times? It fits 7 times since \( 16 \times 7 = 112 \).
- Write 7 on top.
- Subtract 112 from 112: \( 112 - 112 = 0 \).
6. Conclusion:
- The quotient of \( 592 \div 16 \) is 37.
Thus, the quotient for [tex]\( 592 \div 16 \)[/tex] is [tex]\(\boxed{37}\)[/tex].
