Hi @RoyalSkies,
Adjusting the Brush > Modifiers> Curve Res or Stroke> Curve > Curve Step are both ways to adjust the smoothness or resolution of the curve.
However, I think your issue here is probably caused by your brush construction. It looks like you have long, thin repeating sections in your brush geometry, and that is going to limit how easily the curve can wrap to strongly curved surfaces. The repeating sections must be drawn end to end, so you don’t want any more length than you absolutely need to establish the repeating element. Try to picture how easy it would be to wrap a chain made of of small circular links, vs a chain of golf clubs laid end to end (I really need to come up with a better analogy
)
Since you don’t have any detail on the repeating section of your belt, you really only need minimal geometry there, length-wise. A cubical repeating section would be better than a long rectangular box, and a section that is even shorter than it is wide would be better still. This will allow the curve stroke to be much more responsive to curved surfaces, and will provide more intuitive results when attempting to adjust the curve res independently of the mesh size.
Good luck! 