There are two related words here. 1. 다 하다 = do all/everything. Be done/finished with something. 2. 다하다 = 1. exhaust or fulfill (possible means, responsibilities, duties), 2. reach the end. (The two are closely related, but nevertheless different expressions when used in written form) 다 하다(1) is very common in everyday situations. 다 is one of the most commonly used adverbs. - 숙제 다 했어? = Have you finished your homework? - 이걸로 오늘 일은 다 했다 = This finishes today's work. - 밥 다 먹었어? = Are you done eating. 다하다(2) is a bit less common, but still widely used. It can also have a somewhat literally feel, as in your example. - 맡은 일에 최선을 다하다. 사회적 역할을 다하다 (아낌없이 바치다). - 그 사람은 자기 고향에서 수명을 다했다 (죽었다). 건전지가 수명을 다했다 (못 쓰게 됐다).