Long Period Prime/Examples/17

Theorem
The decimal expansion of the reciprocal of $17$ has the maximum period, that is: $16$:
 * $\dfrac 1 {17} = 0 \cdotp \dot 05882 \, 35294 \, 11764 \, \dot 7$

Proof
Performing the calculation using long division:

0.058823529411764705... 17)1.000000000000000000000    85     --     150     136     ---      140      136      ---        40        34        --         60         51         --          90          85          --           50           34           --           160           153           ---             70             68             --              20              17              --               30               17               --               130               119               ---                110                102                ---                  80                  68                  --                  120                  119                  ---                    100                     85                     .....