Mich. Comp. Laws § 600.835

Sec. 835. (1) The probate judge or chief probate judge of any county or probate court district may appoint, and in counties having a population of 50,000 or more shall appoint, 1 or more official court reporters or certified recorders of the probate court, at a reasonable salary fixed by the county board of commissioners. The reporters or recorders so appointed shall take and subscribe the constitutional oath of office, which shall be filed with the county clerk of the county. (2) The reporter or recorder serving in a probate court district shall be entitled to receive, in addition to the salary provided for in this section, the necessary and actual expenses incurred in attending court in the county other than the county in which the reporter or recorder resides. Upon filing with the clerk of the county in which the reporter or recorder attended court a sworn statement that the expenses were incurred by the reporter or recorder and that the expenditures were necessary in performing the services, the clerk shall draw an order for payment and upon presentation of that properly drawn order, the treasurer of the county shall pay the ordered sum to the person entitled to the payment. If the reporter or recorder does not reside within the probate court district in which he or she serves, he or she shall be considered for the purpose of this subsection to reside in the county where the probate judge of that district resides.