Reciprocal of 59

Theorem
The decimal expansion of the reciprocal of $59$ is as follows:
 * $\dfrac 1 {59} = 0 \cdotp \dot 01694 \, 91525 \, 42372 \, 88135 \, 59322 \, 03389 \, 83050 \, 84745 \, 76271 \, 18644 \, 06779 \, 66 \dot 1$

Proof
Performing the calculation using long division:

0.016949152542372881355932203389830508474576271186440677966101... -- 59)1.000000000000000000000000000000000000000000000000000000000000...     59     410   150   170   350    230     500   370   380    570     354   118   118   295    177     472   354   354    531     ---   ---   ---   ---    ---     ---   ---   ---    ---      560   320   520   550    530     280   160   260    390      531   295   472   531    472     236   118   236    354      ---   ---   ---   ---    ---     ---   ---   ---    ---       290   250   480   190    580     440   420   240    360       236   236   472   177    531     413   413   236    354       ---   ---   ---   ---    ---     ---   ---   ---    ---        540   140    80   130    490     270    70    400    60        531   118    59   118    472     236    59    354    59        ---   ---    --   ---    ---     ---    --    ---    --          90   220   210   120    180     340   110    460    100          59   177   177   118    177     295    59    413     59          --   ---   ---   ---    ---     ---   ---    ---    ---          310   430   330    200    300    450   510    470   ...          295   413   295    177    295    413   472    413          ---   ---   ---    ---    ---    ---   ---    ---           150   170   350    230     500   370   380    570