Reciprocal of 71

Theorem
The decimal expansion of the reciprocal of $71$ is as follows:
 * $\dfrac 1 {71} = 0 \cdotp \dot 01408 \, 45070 \, 42253 \, 52112 \, 67605 \, 63380 \, 2816 \dot 9$

Proof
Performing the calculation using long division:

0.0140845070422535211267605633802816901... --- 71)1.0000000000000000000000000000000000000...     71     290      160    80    400    580     284      142    71    355    568     ---      ---    --    ---    ---       600     180    90    450    120       568     142    71    426     71       ---     ---    --    ---    ---        320     380   190    240    490        284     355   142    213    426        ---     ---   ---    ---    ---         360     250   480    270    640         355     213   426    213    639         ---     ---   ---    ---    ---           500    370   540    570     100           497    355   497    568      71           ---    ---   ---    ---     ---             300   150   430     200   ...             284   142   426     142             ---   ---   ---     ---              160    80    400    580