Final answer:
The correct expression of the quotient 713 ÷ 81 with a remainder of 65 is 8 65/81, which is a mixed number.
Step-by-step explanation:
The student has asked how to express the quotient 713 ÷ 81 = 8 R65 using a fraction. The correct method is to take the remainder and place it over the divisor to make a mixed number. Therefore, the expression of the quotient using a fraction is 8 65/81, which corresponds to option (a).