[math-fun] 1/7 etc.

I just figured out for myself a probably well-known trick for deriving/remembering the decimal expansion of 1/7: 1/7 = 14/98 = 14/(100-2) = .14/(1-.02) = .14 + .0028 + .000056 + .00000112 + ... = .142857... Are there other examples where the repetend of the decimal expansion of 1/n in splits into blocks that are related to this sort of fashion? Jim Propp