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Assume the decimal starts recurring immediately after the decimal point. (If the recurring string starts after k digits, then you want to find the (2001-k)th digit instead.)

Find the length of the recurring string = L

Find the remainder when 2001 is divided by L = R

The 2001st digit is the Rth digit in the recurring string.

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Q: How can you find the 2001st digit of a recurring decimal?
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