To find the quotient of [tex]\( 592 \div 16 \)[/tex], let's follow the steps for division.
1. Set up the problem for long division:
[tex]\[
16 \div 592
\][/tex]
2. Determine how many times 16 goes into the first digit(s) of the dividend:
- 16 does not go into 5, so we consider the first two digits, 59.
- We need to find the largest multiple of 16 less than or equal to 59. By checking the multiples of 16, we see:
[tex]\[
16 \times 3 = 48 \quad (\text{less than 59})
\][/tex]
[tex]\[
16 \times 4 = 64 \quad (\text{more than 59})
\][/tex]
- The largest multiple of 16 within 59 is 48.
3. Write the quotient for this portion of the division (3), and subtract 48 from 59:
[tex]\[
59 - 48 = 11
\][/tex]
We now have a remainder of 11.
4. Bring down the next digit of the dividend, which is 2, making the new number 112.
5. Determine how many times 16 goes into 112:
- Checking the multiples:
[tex]\[
16 \times 7 = 112
\][/tex]
- So, 16 goes into 112 exactly 7 times.
6. Write the quotient for this portion of the division (7):
[tex]\[
112 - 112 = 0
\][/tex]
There is no remainder left.
7. Combine the results:
- The quotient from the steps above is [tex]\(3\)[/tex] (from 59) and [tex]\(7\)[/tex] (from 112), combining to form the number 37.
Therefore, the quotient of [tex]\( 592 \div 16 \)[/tex] is [tex]\( 37 \)[/tex].
