A gaming device, system and method are set forth which includes a progressive jackpot pool. Based upon a trigger condition at least a portion of the pool value PV is awarded to a player by providing free plays of a feature where each free play has an expected value EV. The number of free plays awarded is substantially PV/EV and where PV/EV includes a non-integer remainder R a remainder game having odds R/EV is played and if won an additional free play is awarded. The progressive trigger may be a mystery trigger. The free plays may be free spins of the gaming machine base game or one or more different games.