Any vehicle owned by a nonresident owner not registered under this code, which vehicle is leased or rented to a user having an established place of business or residence in this State, for use on the highways of this State shall be subject to registration either by the owner or lessee of the vehicle, unless the vehicle is exempted from registration by the provisions of this division or under any agreement, arrangement, or declaration made pursuant to Article 3, commencing at Section 8000.