This is pretty basic. I use these belt clips from Inventables. There has to be something similar somewhere else, though. But if not you can get them direct. You'll need to be sure your belts aren't too wide for the slot.
The bolt/nut is used for tensioning. The belt goes under, through the slot, over and down through the second slot back beneath the first slot. I use a small zip tie to lock the teeth on the belt to each other and then tighten as needed. Last time I needed to change a belt was 9 or 10 years ago.