Our noun comes from a Latin verb meaning "to chew." In the life of the mind, rumination is chewing over some idea or problem thoroughly. And that can be a very good thing to do.
But as with nearly all good things, rumination is subject to the Double Power Principle. The power it has for good is matched by the power it has for ill. I recently read a short article about the downside that's manifested in the mental activity of going over and over and over something that's negative in your life—mulling it, stewing over it, pondering it, trying to figure it out, repeatedly sensing anew how wrong it is, and endlessly asking, "Why has this happened to me?" Here's the problem. When the situation is something you can't control or even act on productively, rumination can become a very unhealthy habit. A better approach is to act on what you can control and walk away from what you can't control. Sure, seek to understand it. But then: Drop it. Forget about it. Move along.
Sometimes, we break out of the chains of rumination best when we find other things to do, creative projects, fun activities, any alternative things to keep our minds busy. Rumination has its place. But out of place, it can turn into a destructive loop of obsessive thoughts. The good news is that our thoughts are ultimately up to us. It make take effort, but with enough work, we can keep ourselves on a healthier track.