Final answer:
The quotient of 8,378 divided by 11, rounded to the nearest hundredth, is 761.64.
Step-by-step explanation:
To find the quotient of 8,378 divided by 11 and round it to the nearest hundredth, we can perform the division using a calculator or long division.
After dividing 8,378 by 11, we obtain a result which then needs to be rounded. Rounding rules dictate that if the digit after the hundredth place is 5 or greater, we round up. Conversely, if it is less than 5, we round down.
So, the answer to 8,378 divided by 11, rounded to the nearest hundredth, is 761.64 (option a).