Sec. 877. All fees received by the probate court during each month under sections 871 to 874 must be paid on or before the tenth day of the succeeding month as follows: (a) Beginning March 28, 2013, 47.5% of each fee must be paid to the county treasurer and credited to the county general fund. (b) Beginning March 28, 2013, 52.5% of each fee must be paid to the state treasurer and credited to the state general fund.