Sure! Here's a division problem that meets your criteria:
Problem: Divide 105 by 10.5.
Calculation: \[ \frac{105}{10.5} = 10 \]
Since the quotient is exactly 10, let's adjust the dividend slightly to ensure the quotient is greater than 10 but less than 11.
New Problem: Divide 112 by 10.5.
Calculation: \[ \frac{112}{10.5} \approx 10.67 \]
Result: The quotient is approximately 10.67, which is greater than 10 but less than 11.