A Golden Fraction I

100,000,000,000,000,000,00099,999,999,989,999,999,999\frac{100,000,000,000,000,000,000}{99,999,999,989,999,999,999}

What is the 250th250^{\text{th}} digit to the right of the decimal place of the fraction above?

As an explicit example, the 3rd3^\text{rd} digit to the right of the decimal place of 11235.123456789 is 3.


Inspired by Pi Han Goh.
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