Take a broad look at the company. Sweat the details. Eventually the big people lose patience. Learn from the boss' corrections. Whenever you can, see how the boss has fixed your work.
Bosses appreciate people who want to learn.
When you make a mistake, admit it. If you're a good worker and you make an honest, well-intentioned mistake, even a mediocre boss will cut you some slack. Apologize and move on. Try to fit the corporate culture. Companies do things a particular way, usually with good reason.