Well I think I can see what you're getting at here, and there are many fractions of a second which time goes by in, but think about it in a different perspective. Days are divided into hours, hours into minutes, minutes into seconds, so it doesn't really appear, just milliseconds and anything smaller than those go by really quickly.
Well there are different units. Like seconds, milliseconds, etc. 0 will reach 1 too, but I don't know how to explain
