  Let F be a non-Archimedean locally compact field of residue characteristic p,
let D be a finite dimensional central division F-algebra and let R be an
algebraically closed field of characteristic different from p. We classify all
smooth irreducible representations of GL(m,D) with coefficients in R, in terms
of multisegments, generalizing works by Zelevinski, Tadic and Vign\'eras. We
prove that any irreducible R-representation of GL(m,D) has a unique
supercuspidal support, and thus get two classifications: one by supercuspidal
multisegments, classifying representations with a given supercuspidal support,
and one by aperiodic multisegments, classifying representations with a given
cuspidal support. These constructions are made in a purely local way, with a
substantial use of type theory.
