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The x/7 series is very easy to remember.
1/7 = .142857
2/7 = .285714
3/7 = .428571
4/7 = .571428
5/7 = .714285
6/7 = .857142
Do you see that each decimal equivalent uses the same six digits in the same order, just starting with a different number each time? This is what makes it so easy to memorize.
13 / 70 = (13/7)/10 = (1+6/7)/10 = (1 + .857142) / 10 = 1.857142 / 10 = .1857142 ■
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