### Instruction: Convert $222_{10}$ to base $13$.  Use digits A, B, and C if necessary.### Response: To convert a number from base 10 to another base, I can use repeated division and look at the remainders.
I start by dividing 222 by 13, the base I want to convert to.
I get 17 with a remainder of 1.
This means that 1 is the rightmost digit of the base 13 representation.
Next, I divide 17 by 13.
I get 1 with a remainder of 4.
This means that 4 is the next digit of the base 13 representation, to the left of the 1.
Finally, I divide 1 by 13.
I get 0 with a remainder of 1.
This means that 1 is the leftmost digit of the base 13 representation, to the left of the 4.
Therefore, the base 13 representation of 222 is 141.