.428571428571 with the digits 4,2,8,5,7,1 repeating indefinitely in that order. What digit is in the 200th place. To the right of the decimal point?

Is the answer 8?
Please show your work.

since 200 = 6*33 + 2, there will be 33 repeated groups, with 2 digits left over.

The 200th digit is thus the same as the 2nd digit, or 2