go on to

go on to something

to advance to something or to doing something. After a few years she went on to even greater heights. Larry went on to found his own company.
See also: on
References in classic literature ?
As to which quantity there was a perpetual fight going on between the master and his form--the latter insisting, and enforcing by passive resistance, that it was the prescribed quantity of Homer for a shell lesson; the former, that there was no fixed quantity, but that they must always be ready to go on to fifty or sixty lines if there were time within the hour.