A Golden Fraction I

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

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

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

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