Accurately is from accurate plus -ly. The suffix -ly recasts accurate as an adverb: the lexical idea remains recognizable, but the word now describes manner, degree, or circumstance rather than naming the quality by itself. In use as an adverb, accurately denotes in a correct way, with few or no mistakes. Typical contexts include “She repeated the order back to me accurately”. The meaning stays close to the form: it applies the etymological material to in a correct way, with few or no mistakes, keeping the visible parts legible in ordinary use.