Reciprocal of 101

Theorem
The decimal expansion of the reciprocal of $101$ is as follows:
 * $\dfrac 1 {101} = 0 \cdotp \dot 009 \dot 9$

Proof
Performing the calculation using long division:

0.00990099...  -- 101)1.00000000...      909      ---       910       909       ---         1000          909           910           909           ---           ...