Reciprocal of 7

Theorem
The decimal expansion of the reciprocal of $7$ has the maximum period, that is: $6$:
 * $\dfrac 1 {7} = 0 \cdotp \dot 14285 \, \dot 7$

Proof
Performing the calculation using long division:

0.142857... 7)1.000000000    7     --     30     28     --      20      14      --       60       56       --        40        35        --         50         49         --          10           7          --          ..

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