To simplify the expression \(3(42 + 32 ÷ 4 − 5)\), we first need to focus on the part inside the parentheses: \(42 + 32 ÷ 4 − 5\).
According to the order of operations (PEMDAS/BODMAS), we need to perform the division before addition and subtraction.
In this case, we need to calculate \(32 ÷ 4\).
Thus, the correct quotient that must be found to simplify the expression is:
32 ÷ 4.