The video here shows how I did it

Again the Boolean Merge before Boolean Divide works a bit better

The partial overlapping contours seems also the cause for lags
if i use Stripe Styles on the Contour together with Boolean Combine
these lags are not so heavy but long enough to make working with
the Pattern impossible

again everything works if i use the Boolean Merge way

partially overlapping contours of the shapes causing the Problems

This is also what I suspected, I will try to find the root cause for this.

If i eliminate that partial overlapping contours
via a Boolean Merge, Boolean divide works smoothly

here a Video

file is send