This article by Roger Olson is very good: Arminianism and Providence
Roger does an excellent job of describing how and when God’s providence is active in the life of a believer. I especially love this observation:
The only category of creaturely decisions and actions where God NEVER interferes with free will IN THE SENSE OF rendering them certain is sin and evil. God permits them but does not design, foreordain or render them certain.
This is a good read from a thoughtful theologian.