Reciprocal of 9901

Theorem
The reciprocal of $9901$ is:
 * $\dfrac 1 {9901} = 0 \cdotp \dot 00010 \, 09998 \, 9 \dot 9$

Proof
Performing the calculation using long division:

0.0001009998990001... 9901)1.0000000000000000...      9901         99000         89109         -          98910          89109          -           98010           89109           -            89010            79208            -             98020             89109             -               89110               89109               -                   10000                    9901                   -                    ....