Single-step equation from a product: Determine the exact integer that satisfies 87 × ? = 3393.

Introduction / Context:
This problem is a direct linear equation in multiplicative form. The unknown is a whole number. Dividing the known product by the known factor quickly yields the missing integer if computed carefully.

Given Data / Assumptions:

• a = 87, P = 3393.
• Find q such that a × q = P.
• Expect integer division: q = P / a.

Concept / Approach:
Use exact division: q = 3393 / 87. A quick estimate helps: 87 × 40 = 3480 which is slightly high, so try 39. If 87 × 39 equals 3393, the guess is perfect.

Step-by-Step Solution:
Compute 87 × 40 = 3480.Subtract one 87 to check 39: 3480 − 87 = 3393.Hence q = 39.

Verification / Alternative check:
Perform direct division: 3393 ÷ 87 = 39 exactly, confirming the result without any remainder.

Why Other Options Are Wrong:
49 or 67 would overshoot the product; 27 is far too small. Only 39 fits precisely.

Common Pitfalls:
Estimating only and not verifying; forgetting to check by multiplication after a guess; arithmetic slips when subtracting 87 to move from 40 down to 39.

Final Answer:
39