What is the remainder when $333^{333}$ is divided by $11$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the remainder when $333^{333}$ is divided by $11$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
5
What is the remainder when $333^{333}$ is divided by $11$?
train