'Reside' is Latin for 'sit back' — from 're-' + 'sedere' (to sit). To settle and remain.
To live in a particular place; to be situated or lodged in a particular place; (of a quality or right) to belong to or be vested in.
From Latin 'residere' (to sit back, to remain sitting, to settle, to abide), composed of the prefix 're-' (back — here with a spatial sense of settling back into position) and 'sedere' (to sit), from PIE *sed- (to sit). PIE *sed- is one of the most generative roots in the family: it produced Latin 'sedere' (to sit), 'sessio' (a sitting), 'sella' (seat, chair), 'residuum' (what sits back — the remainder after the rest is removed), and 'possess' (to sit as master of something). In Germanic, *sed- gave Old English
The word 'residue' — what remains behind — is the same Latin verb as 'reside.' Latin 'residuum' (what sits back, what remains) is the neuter past participle of 'residēre.' A resident is someone who sits back in a place and stays; a residue is something that sits back and remains. Living and lingering are