Whenever after a judgment is satisfied and proof of financial responsibility is given, another judgment is rendered against the same person for any accident occurring prior to the date of the giving of the proof and the person fails to satisfy the latter judgment within the amounts specified in this chapter within 15 days after the latter judgment became final, then the department shall again suspend the driver’s license of the judgment debtor and shall not issue to him or her any driver’s license while the latter judgment remains unsatisfied and subsisting within the amounts specified in this chapter.