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What is the quotient of the following division problem?

[tex]\[ 1518 \div 16 \][/tex]

A. 93 r 12
B. 94 r 13
C. 96 r 11
D. 94 r 14

Answer :

To find the quotient of the division problem [tex]\(1518 \div 16\)[/tex], we follow these steps:

1. Understanding the Division: We are dividing 1518 by 16 to find out how many times 16 goes into 1518 completely, and what is left over as the remainder.

2. Divide Step by Step:
- First, see how many times 16 fits into the first two or three numbers of 1518.
- 16 cannot fit into the digit '1', so we look at the first two digits '15'. 16 does not fit into 15, so we move to the first three digits '151'.

3. Calculate the Quotient:
- Divide 151 by 16.
- 16 goes into 151 a total of 9 times because [tex]\(16 \times 9 = 144\)[/tex].
- Subtract 144 from 151 to find the remainder: [tex]\(151 - 144 = 7\)[/tex].

4. Bring Down the Next Digit:
- Now bring down the next digit from the dividend which is '8', making the number 78.

5. Continue the Division:
- See how many times 16 fits into 78.
- 16 goes into 78 a total of 4 times, because [tex]\(16 \times 4 = 64\)[/tex].
- Subtract 64 from 78 to find the remainder: [tex]\(78 - 64 = 14\)[/tex].

6. Conclusion:
- The division gives us a quotient of 94, and a remainder of 14.

Therefore, the quotient of [tex]\(1518 \div 16\)[/tex] is 94 with a remainder of 14. So, the correct answer is D. 94 r14.

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