### Instruction: Convert $115_{10}$ to base 11. Represent $10$ as $A$, if necessary.### Response: To convert a decimal number to another base, I need to repeatedly divide by the base and write down the remainders in reverse order.
So I start by dividing 115 by 11, which gives me 10 with a remainder of 5.
That means the rightmost digit of the base 11 number is 5.
Next, I divide 10 by 11, which gives me 0 with a remainder of 10.
That means the next digit is 10, which I write as A.
Since the quotient is 0, I stop the process and write down the final answer.