```
11. (16th All-Russian Mathematics Competition) Replace the “*” in the following division problem with appropriate digits
$$
\begin{array}{l}
\text { * } 8 \text { * } \\
* * \sqrt{* * * * *} \\
-) * * * * * * \\
\frac{-) * *}{* *} \\
\frac{-) * * *}{0} \\
\end{array}
$$
```
From the fact that the divisor multiplied by 8 yields a two-digit number, we know the divisor is no greater than 12. Furthermore, since the divisor multiplied by the first or last digit of the quotient results in a three-digit number, we know the divisor is no less than 12.
Therefore, the divisor is 12.
And since 12 multiplied by the first or last digit of the quotient is a three-digit number, the first and last digits must both be 9, making the quotient 989.
The dividend is \(12 \times 989 = 11868\).