God's providence is simply God's intervention in the universe. I believe that people get the natural consequences for their sinful or foolish actions and God doesn't intervene very often to prevent them.

At times God can bring about things that we would consider bad because it fits within his will. Once when I was driving home in bad weather I suddenly realized that I wanted to stop at the grocery store and buy some blueberry bagels. The exit ramp was ice covered and I had an accident. Nobody was injured as far as I know. But if I hadn't remembered that I wanted to go to the store I wouldn't had the accident. So it seems to me that God wanted me to have the accident. Or at least God chose not to prevent it.