SOLUTION: Find the 11110th digit in the decimal expansion of 1/41

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Question 1019758: Find the 11110th digit in the decimal expansion of 1/41
Answer by ikleyn(52781) About Me  (Show Source):
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Find the 11110th digit in the decimal expansion of 1/41
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The idea of solving problems like this is to recall that the rational fraction 1%2F41 is periodic decimal fraction.

So, make the long division, find the part which precedes the period, then find the period itself, then analyze the rest.

It looks like this problem is from some Math Circle.

If you are there, you should be able to complete it.