How do you file a quiet title lawsuit in Florida?

Your question is too broad. You need to consult with an attorney who is an expert in real estate law. You would need to explain the nature of your legal claim, provide evidence to support your claim and the attorney would need to have extensive title research performed to ascertain the legal status of the title to the land in question. If the attorney decides to take your case she would need to draft a detailed complaint that sets forth your claim and the legal theory that supports your right to the property.