That all funds received by the state of New Mexico as its distributive share of the amount collected by the United States government under the provisions of the Act of Congress of June 28, 1934 (48 Stat. 1269) Public [Law] No. 482, 73rd Congress, known as the Taylor Grazing Act and any act amendatory thereof, shall be deposited with the state treasurer. Upon receipt of said money, including any such money as may now be on hand, the state treasurer shall ascertain from the records of the proper United States officers having the records of the grazing districts or lands from which such monies are derived the area of each such grazing district or lands, and the area of each thereof in each county in which the same is located or into which it extends, and the amount of money so derived from each such grazing district or lands, and thereupon shall distribute to each of the counties of the state from such monies a sum equal to that proportion of the money derived from each grazing district or lands which the area of such district or lands within the county bears to the total area of such district or lands. If any grazing district shall lie partly in this state and partly in another, for the purpose of the computation and apportionment herein prescribed, the area thereof within this state shall be considered as one district.