Repeating Decimals / Recurring Decimals

[StephenG1CMZ]

Given an integer reciprocal, analyzes the decimal representation to identify the transient and repeating/recurring parts of the decimal.

Eg
1/3 has no transient and 3 repeats.
1/4 has transient 0.25 and no repetition.
1/7 has no transient and 0.142857 recurring.
1/14 has transient 0 and 6 recurring digits.

See http://www.hpmuseum.org/forum/thread-9919.html
For a description of the algorithms and more examples.