  It is known by A. Loi and R. Piergallini that a closed, oriented, smooth
3-manifold is Stein fillable if and only if it has a positive open book
decomposition. In the present paper we will show that for every link L in a
Stein fillable 3-manifold there exists an additional knot L' to L such that the
union of the links L and L' is the binding of a positive open book
decomposition of the Stein fillable 3-manifold. To prove the assertion, we will
use the divide, which is a generalization of real morsification theory of
complex plane curve singularities, and 2-handle attachings along Legendrian
curves.
