You’d need a notch on each counter reel so they all are at the point you want to cease drive - like say 0007 to come to final rest at 0000 (with an override so it doesn’t stop playing at 0007 when you start again!). Each counter reel any number will repeat at 1, 1/10, 1/100, 1/1000 revolutions and so on but if every reel is notched the notches will all line up only at a unique number so a series of micro switches wired in series or a roller bar and one switch could work.
Fun thought!!
Fun thought!!