The Sexagesimal Numeration System, all-known from the traditional clock face, came to us from the deep Ancient Times. The system is apparently survived due to the fact that 60 has many divisors. But how could it arise? The statement of this report is that the calculus arose on the basis of finger accounts and completely identical in principle the numeration systems on the base ?4? , ?20? and ?40?. The last is survived in Siberia to the early 20th century and can serve as a proof of our version of arising the sexagesimal system.