To simplify the expression \([3(42 + 32 ÷ 4 - 5)]\), we first need to identify the quotient that must be calculated as part of the simplification process.
Looking at the expression, we see the term \(32 ÷ 4\). This is clearly a quotient that must be calculated.
So, the correct response to the question regarding which quotient must be found to simplify the expression is:
32 ÷ 4 (or \(32 divided by 4\)).