To dream that you are walking up a flight of stairs, indicates that you are achieving a higher level of understanding. You are making progress into your spiritual/emotional/material journey.

To dream that you are walking down a flight of stairs, signifies that you will face many setbacks in your endeavors.

To dream of sitting on stairs suggests that you are having trouble deciding the right way to act in a situation, or you are working up the confidence to move in the direction you want.

To dream that you fall down some stairs, denotes that you will lose respect due to your poor judgment.