Wiktionary
fall to
vb. (context intransitive dated English) To enter into or begin an activity, especially with enthusiasm or commitment and especially in regard to the activities of eating or drinking.
Usage examples of "fall to".
That lot would fall to people like Chase, who better deserved the salute.
She settled herself carefully on his thighs and reached up, unfastening the hooks of her corset, letting the garment fall to the floor.
She settled herself carefully on his thighs and reached up, unfastening the hooks of her corset until her breasts were free, letting the garment fall to the floor.