Schematic view of a dusty protostellar collapse. Blue regions are dust depleted and red regions are dust enriched. Typically, the outer regions of the envelope are depleted. The outflow, only observed in magnetic runs, is enriched on its surface and depleted elsewhere. Dense regions such as the core and fragments (the fragments are observed only in the hydrodynamical case), the pseudo-disk (only in magnetic runs), and the disk are generally enriched. The strength of dust decoupling depends on the initial choice of parameters such as the maximum grain size, the thermal-to-gravitational energy ratio, or the presence of a magnetic field. This view of a dusty protostellar collapse is simplified and provides only a global sketch of the evolution.