Reciprocal of 73
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Theorem
The decimal expansion of the reciprocal of $73$ is as follows:
- $\dfrac 1 {73} = 0 \cdotp \dot 01369 \, 86 \dot 3$
This sequence is A021077 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Proof
Performing the calculation using long division:
0.0136986301... ------------- 73)1.0000000000... 73 ---- 270 219 --- 510 438 --- 720 657 --- 630 584 --- 460 438 --- 220 219 --- 100 73 --- ...
$\blacksquare$