If I live in utal and my spouce live in Florida can I file for divorice in Utal?

The simple answer is yes, if you have lived here for at least 3 months. The complicated problem arises as to division of property, children (if any), financial divisions, real estate, and the like. Those issues might not be capable of being addressed in a Utah divorce action. You need to consult with an experienced family law attorney. I have handled matters similar to yours.