1.Lit. to travel an indirect route or an extra distance in order to do something. I'll have to go out of my way to give you a ride home.I'll give you a ride even though I have to go out of my way.
2.Fig. to make an effort to do something; to accept the bother of doing something. We went out of our way to please the visitor.We appreciate anything you can do, but don't go out of your way.