Reciprocal of 27

Theorem
The decimal expansion of the reciprocal of $27$ is as follows:
 * $\dfrac 1 {27} = 0 \cdotp \dot 03 \dot 7$

Proof
Performing the calculation using long division:

0.037... 27)1.00000    81     --     190     189     ---       100        81       ---        ...

It is to be noted that this is because $999 = 27 \times 37$.