What is the 5280th digit in the decimal expansion of 1017 Th

What is the 5280th digit in the decimal expansion of 10/17? Thank you!

Solution

10/17=0.5882352941176470588

Since after every 16 digits, digit repeated

Now we have to find out 5280th digit after decimal

since, 5280/16=330 which means that no remainder that is the 5280th digit is same as 16th digit after decimal

so the 5280th digit=0