Services not included within “employment” and performed entirely without this State, with respect to no part of which contributions are required and paid under an unemployment compensation law of any other state or of the Federal Government, shall be deemed to be employment if the individual performing such services is a resident of this State and the director approves the election of the employing unit for whom the services are performed that the entire service of such individual shall be deemed to be employment subject to this division. Such election shall be for the period, made in the manner, and subject to termination as provided in this article for other elections of coverage.