Funds collected by the department of revenue or other entity under RCW
81.100.030, or by the department of licensing under RCW
81.100.060, less the deduction for collection expenses, shall be deposited in the high occupancy vehicle account hereby created in the custody of the state treasurer. On the first day of the months of January, April, July, and October of each year, the state treasurer shall distribute the funds in the account to the counties on whose behalf the funds were received. The state treasurer shall make the distribution under this section without appropriation.