### Instruction: Convert $115_{10}$ to base 11. Represent $10$ as $A$, if necessary.### Response: To convert a number from base 10 to base 11, I need to repeatedly divide by 11 and write down the remainders.
I start with 115 divided by 11, which gives a quotient of 10 and a remainder of 5.
I write down 5 as the rightmost digit of the base 11 number.
Then I divide 10 by 11, which gives a quotient of 0 and a remainder of 10.
I write down 10 as the next digit to the left, but since I'm in base 11, I use the letter A instead.
Since the quotient is 0, I stop dividing and I have my final answer.