Answer :
To find the quotient of [tex]$97,\!843$[/tex] divided by [tex]$62$[/tex], we perform integer division to determine both the quotient and the remainder. Here are the steps:
1. First, divide the numerator by the divisor:
[tex]$$97,\!843 \div 62.$$[/tex]
2. Determine the integer quotient, which is the result of the division without considering the remainder. In this case, the integer quotient is:
[tex]$$1578.$$[/tex]
3. Next, calculate the remainder by subtracting the product of the quotient and the divisor from the original number:
[tex]$$\text{Remainder} = 97,\!843 - (1578 \times 62).$$[/tex]
4. Multiplying,
[tex]$$1578 \times 62 = 97,\!836.$$[/tex]
5. Computing the remainder:
[tex]$$97,\!843 - 97,\!836 = 7.$$[/tex]
6. Thus, the result of the division can be written as a mixed number:
[tex]$$1578 \frac{7}{62}.$$[/tex]
Given the answer choices, the correct answer is:
C. [tex]$1578 \frac{7}{62}$[/tex]
1. First, divide the numerator by the divisor:
[tex]$$97,\!843 \div 62.$$[/tex]
2. Determine the integer quotient, which is the result of the division without considering the remainder. In this case, the integer quotient is:
[tex]$$1578.$$[/tex]
3. Next, calculate the remainder by subtracting the product of the quotient and the divisor from the original number:
[tex]$$\text{Remainder} = 97,\!843 - (1578 \times 62).$$[/tex]
4. Multiplying,
[tex]$$1578 \times 62 = 97,\!836.$$[/tex]
5. Computing the remainder:
[tex]$$97,\!843 - 97,\!836 = 7.$$[/tex]
6. Thus, the result of the division can be written as a mixed number:
[tex]$$1578 \frac{7}{62}.$$[/tex]
Given the answer choices, the correct answer is:
C. [tex]$1578 \frac{7}{62}$[/tex]
