Fla. Stat. § 320.615
The acceptance by any person of a license under ss. 320.60 - 320.70 shall be deemed equivalent to an appointment by such person of the Secretary of State as the agent of such person upon whom may be served all lawful process in any action, suit, or proceeding against such person arising out of any transaction or operation connected with or incidental to any activities of such person carried on under such license, and the acceptance of such license shall be signification of the agreement of such person that any process against him or her which is so served shall be of the same legal force and validity as if served personally on the person. Service of such process shall be in accordance with and in the same manner as now provided for service of process upon nonresidents under the provisions of chapter 48.
Fla. Stat. § 320.615