When a number is divided by 4, we write: Number = 4 × quotient + remainder.

• Given: quotient = 7, divisor = 4.
• The remainder r must satisfy 0 ≤ r < 4 (remainder is always less than the divisor).
• Largest possible number → use the largest possible remainder, which is 3.
• Number = 4 × 7 + 3 = 28 + 3 = 31.
• Check: 31 ÷ 4 = 7 remainder 3. Quotient is 7, as required. ✓

Final Answer: 31