In the first time i made only flat stones, usually from Hungarian agates.
It is not too dificult work if you have pofessionat tools, but in Hungary you can't buy nothing for cutting.
On the factory made cutting machines you have a small things for keeping the stones, afret the cutting you got a smooth surface. On my machine i don't have it, i keep my stones with my hands, ( i sill have all my fingers :-) ) mostly i got a nice surface to my stones but sometimes i have stairs on the stones.
After the cut i use this technic:
I use for sending 400 gtir of SiC powder on steel lap, i am doing it untill the surface is perfectly flat, without craks, the next is 800 grit of SiC by hend for pre polish , next step is a 800grit of diamond soft flat lap in an electric motor with 2890RPM the result is better pre polish i get lightly mirror surface, lot of cutter call it polished stone but i use Cerium Oxide for polishing on felt lap.
My best work was with this technic 450pcs. of agates in a month.