  Let $f$ be a $r\times m$-matrix of holomorphic functions that is generically
surjective. We provide explicit integral representation of holomorphic $\psi$
such that $\phi=f\psi$, provided that $\phi$ is holomorphic and annihilates a
certain residue current with support on the set where $f$ is not surjective. We
also consider formulas for interpolation. As applications we obtain
generalizations of various results previously known for the case $r=1$.
