When any county imposes the tax authorized by this article and there is located in such county a city having no separate court in whose clerk's office deeds and other instruments are admitted to record, the governing body of such county shall at least semiannually pay into the treasury of such city an amount equal to the county tax collected on recordations with respect to property located in such city, less the proportionate compensation, if any, paid by the county to the clerk of court for his service in collecting the tax. The clerk of the court shall compile and furnish the necessary information to the governing body of the county to enable it to comply with this provision.
Va. Code § 58.1-3804