What is the 217th digit after the decimal point in the repeating decimal 0.3456? how can i calculate this?

Well I think you mean , I will try to explain as simple as I can ;p

First I would divide 217 by 4, because we need to find 217th digit in 4 digit repeating decimal:



it means that 3456 will be reapeted 54 times untill 217th digit, and means that the 217th digit will be the first of those 4 digits in this decimal, so your answer is:
The 217th number after the decimal point in this repeating decimal will be 3