A digit is written to the right of the units digit of $757$.  If the resulting four-digit number is divisible by $3$, how many possibilities are there for the digit that was written?
Question:
A digit is written to the right of the units digit of $757$.  If the resulting four-digit number is divisible by $3$, how many possibilities are there for the digit that was written?
Answer:
Let's think step by step.

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3
A digit is written to the right of the units digit of $757$.  If the resulting four-digit number is divisible by $3$, how many possibilities are there for the digit that was written?
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