Anything done accurately is done correctly or with very few mistakes. Many things should be performed accurately, especially brain surgery.
When you’re accurate, you’re precise: you get things right. To do something accurately is to do it in a precise, correct, careful manner. A baseball player with a good batting average hits the ball accurately. An accountant who never makes mistakes juggles the numbers accurately. If you got 100 on a test, you performed accurately. The opposite of this word is inaccurately, which means you did something wrong, incorrectly, or with a lot of mistakes.