  We review the experimental information on the K^+d reaction for K-meson
momenta below 800 MeV/c. The data are analysed within the single scattering
impulse approximation -- utilizing the Juelich kaon-nucleon model -- that
allows to take into account effects due to the Fermi motion of the nucleons in
the deuteron and the final three-body kinematics for the break-up and charge
exchange reaction. We discuss the consistency between the data available for
the K^+d -> K^+np, K^+d -> K^0pp and K^+d -> K^+d reactions and the
calculations based on the spectator model formalism.
