Long Period Prime/Examples/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:

0.1428571 -- 7)1.0000000   7  ---    30    28    --     20     14     --      60      56      --       40       35       --        50        49        --         10          7         --         .....

[[Category:7]]