Make sure that assignments from your immediate supervisor or boss be completed satisfactorily or evern more than the expected at the given time. Keep your boss informed of any development of your assignments.
Be flexible and work as a team player. Prove that you can also do other tasks aside from your primary job descriptions. You can fill-in other tasks in the absence of other people in the group if necessary.
Get along well with co-workers and create a rapport with them. It is a big factor in achieving your goal to be promoted since you work in an environment with various type of people.
Be responsible and be able to make decisions without close supervision of your boss. On this way, you give them signals that you can manage a higher responsibility in the future.