What is $123_{10}$ when expressed in base $5$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is $123_{10}$ when expressed in base $5$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
443_5
What is $123_{10}$ when expressed in base $5$?
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