Fla. Stat. § 48.171

Any nonresident of this state, being the operator or owner of any motor vehicle, who accepts the privilege extended by the laws of this state to nonresident operators and owners, of operating a motor vehicle or of having it operated, or of permitting any motor vehicle owned, or leased, or controlled by him or her to be operated with his or her knowledge, permission, acquiescence, or consent, within the state, or any resident of this state, being the licensed operator or owner of or the lessee, or otherwise entitled to control any motor vehicle under the laws of this state, who becomes a nonresident or conceals his or her whereabouts, by the acceptance or licensure and by the operation of the motor vehicle, either in person, or by or through his or her servants, agents, or employees, or by persons with his or her knowledge, acquiescence, and consent within the state constitutes the Secretary of State his or her agent for the service of process in any civil action begun in the courts of the state against such operator or owner, lessee, or other person entitled to control of the motor vehicle, arising out of or by reason of any accident or collision occurring within the state in which the motor vehicle is involved.