another way to cut or slice objects

Use 2 clip SOPs in a For Each loop. The "detail" function access the iteration number. These little expressions are pasted in the X, Y or Z origin boxes. The first cuts to the top of the division, The second cuts to the bottom of it (technically to the top of the previous iteration - which is what the "-1" is for.

 -8.26+detail("../foreach_count1", "iteration",0)*4

-8.26+(detail("../foreach_count1", "iteration",0)-1)*4

This does not create interior detail - but is good for troublesome geo.

Cutting/slicing up an object in equal divisions

 Houdini Quick tip - slice equally - YouTube

Sometimes the Boolean Fracture lets you down, so use the Voronoi Fracture, and feed a line into the second input. That is pretty much the gist of the video.