Answer :
- Perform long division to divide 1516 by 16.
- Determine that 16 goes into 151 nine times ($16
\times 9 = 144$), leaving a remainder of 7.
- Bring down the 6 to get 76, and determine that 16 goes into 76 four times ($16
\times 4 = 64$), leaving a remainder of 12.
- The quotient is 94 and the remainder is 12, so the answer is $\boxed{94 r 12}$.
### Explanation
1. Problem Setup
We need to find the quotient and remainder when 1516 is divided by 16. This is a standard long division problem.
2. First Step of Division
First, we see how many times 16 goes into 151. Since $16
\times 9 = 144$, we have that 16 goes into 151 nine times. So, we write 9 as the first digit of the quotient.
3. Subtract and Bring Down
Next, we subtract $144$ from $151$ to get $151 - 144 = 7$. We bring down the 6 from 1516 to get 76.
4. Second Step of Division
Now, we see how many times 16 goes into 76. Since $16
\times 4 = 64$, we have that 16 goes into 76 four times. So, we write 4 as the next digit of the quotient.
5. Calculate the Remainder
We subtract $64$ from $76$ to get $76 - 64 = 12$. This is the remainder.
6. Final Result
Therefore, $1516
\div 16 = 94$ with a remainder of 12.
7. Select Correct Answer
Comparing our result with the given options, we see that option C, $94 r 12$, is the correct answer.
### Examples
Understanding division is crucial in everyday scenarios, such as splitting costs among friends or calculating how many items you can buy with a certain amount of money. For instance, if you have $1516 to spend on books that cost $16 each, dividing 1516 by 16 tells you that you can buy 94 books, and you'll have $12 left over. This concept helps in budgeting and making informed purchasing decisions.
- Determine that 16 goes into 151 nine times ($16
\times 9 = 144$), leaving a remainder of 7.
- Bring down the 6 to get 76, and determine that 16 goes into 76 four times ($16
\times 4 = 64$), leaving a remainder of 12.
- The quotient is 94 and the remainder is 12, so the answer is $\boxed{94 r 12}$.
### Explanation
1. Problem Setup
We need to find the quotient and remainder when 1516 is divided by 16. This is a standard long division problem.
2. First Step of Division
First, we see how many times 16 goes into 151. Since $16
\times 9 = 144$, we have that 16 goes into 151 nine times. So, we write 9 as the first digit of the quotient.
3. Subtract and Bring Down
Next, we subtract $144$ from $151$ to get $151 - 144 = 7$. We bring down the 6 from 1516 to get 76.
4. Second Step of Division
Now, we see how many times 16 goes into 76. Since $16
\times 4 = 64$, we have that 16 goes into 76 four times. So, we write 4 as the next digit of the quotient.
5. Calculate the Remainder
We subtract $64$ from $76$ to get $76 - 64 = 12$. This is the remainder.
6. Final Result
Therefore, $1516
\div 16 = 94$ with a remainder of 12.
7. Select Correct Answer
Comparing our result with the given options, we see that option C, $94 r 12$, is the correct answer.
### Examples
Understanding division is crucial in everyday scenarios, such as splitting costs among friends or calculating how many items you can buy with a certain amount of money. For instance, if you have $1516 to spend on books that cost $16 each, dividing 1516 by 16 tells you that you can buy 94 books, and you'll have $12 left over. This concept helps in budgeting and making informed purchasing decisions.
