which is a cycle that includes a cycle, or a cycle of the second order. The operations for the complete division, supposing we propose to obtain
terms of the series constituting the quotient, will be,—
It is of course to be remembered that the process of algebraical division in reality continues ad infinitum, except in the few exceptional cases which admit of an exact quotient being obtained. The number
in the formula (4.), is always that of the number of terms we propose to ourselves to obtain; and the
th partial quotient is the coefficient of the (
