You can also divide a surface by using intersecting 3D levels, reference planes, and curves drawn on reference planes.
Divide panel
UV Grids and Intersects panel
(Optional) Rather than manually selecting levels and planes, you can select them from a list of named references.

UV Grids and Intersects panel
Cancel to ignore the selected references and exit the Intersects tool. 
Removing levels or planes will remove the corresponding divisions on the surface.
You can then pattern and apply pattern components to the resulting surface division.