Write a problem that requires adding 1 to the quotient when interpreting the remainder?

Sure! Here is a problem that requires adding 1 to the quotient when interpreting the remainder: "If you have 27 cookies and want to share them equally among 5 friends, how many cookies will each friend get, and how many cookies will be left over?" In this case, each friend would get 5 cookies, with 2 cookies left over. When interpreting the remainder, we would typically say each friend gets 5 cookies with a remainder of 2. However, if we want to add 1 to the quotient, we would say each friend gets 6 cookies, with no remainder.