The change of chirality of the interface domain wall formed in a hard/soft exchange-coupled bilayer submitted to an in-plane rotating field is studied experimentally through the anisotropic magnetoresistance response of the film. It is shown that the chirality reversal can take place in one or two stages, depending on the field strength. The irreversible transitions which occur during the two-stage process correspond to an unwinding and a rewinding in the opposite sense of the magnetic profile. The formation of multidomain structures during these transitions is evidenced and shown to be of prime importance for the understanding of the reversal process.