Reciprocal of 142,857

Theorem

The decimal expansion of the reciprocal of $142 \, 857$ is as follows:

$\dfrac 1 {142 \, 857} = 0 \cdotp \dot 00000 \, \dot 7$

Proof

Performing the calculation using long division:

       0.000007000007...
      ------------------
142857)1.000000000000...
       1 000000
         999999
       --------
              1000000
               999999
              -------

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $142,857$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $142,857$