(a) Every licensed dealer upon transferring by sale, lease, or otherwise any off-highway motor vehicle subject to identification, whether new or used, of a type subject to identification under this division, shall, not later than the end of the fifth calendar day thereafter, not counting the day of sale, lease, or other transfer, give written notice of the transfer to the department upon an appropriate form provided by it; but a dealer need not give the notice when selling or transferring a new unidentified off-highway motor vehicle subject to identification to another dealer. A "sale" shall be deemed completed and consummated when the purchaser of that vehicle has paid the purchase price, or, in lieu thereof, has signed a purchase contract or security agreement, and taken physical possession or delivery of that vehicle.