Modo offers a variety of tools to divide geometry in different ways. To reshape existing surfaces, you can use the various slicing functions to add more geometry to any surface area lacking in polygonal density. The Boolean and Drill tools shape forms by adding and subtracting simple shapes to create more complex ones. The subdivide commands provide a simple way to increase overall density across a mesh (perhaps in preparation for applying sculpting tools). For information on using a specific tool, click a link below to see that tool's topic.
Edit Commands - Cut/Copy/Paste