  We show how to encode a Weinstein 4-manifold using a multisection diagram
with divides, which is a sequence of cut systems on a surface, together with a
separating collection of curves. We give two algorithms to construct a
multisection diagram with divides of a given Weinstein manifold, one starting
with a Kirby-Weinstein handle decomposition and one starting with a positive,
allowable Lefschetz fibration (PALF). Through the connections with PALFs, we
define a monodromy of a multisection and show how to symplectically carry out
monodromy substitution on multisections with divides.
