  We give a method for constructing a shadowed polyhedron from a divide. The
4-manifold reconstructed from a shadowed polyhedron admits the structure of a
Lefschetz fibration if it satisfies a certain property, which we call the
LF-property. We will show that the shadowed polyhedron constructed from a
divide satisfies this property and the Lefschetz fibration of this polyhedron
is isomorphic to the Lefschetz fibration of the divide. Furthermore, applying
the same technique to certain free divides we will show that the links of those
free divides are fibered with positive monodromy.
