A method for reducing skin staining during the coloring of hair includes the following steps in the indicated sequence: A1) applying a coloring agent (F) to the hair, A2) allowing the coloring agent (F) to act for a time period from 30 seconds to 45 minutes, B1) applying an undiluted cleaning agent (R) to skin areas that can come into contact with the coloring agent (F) when the latter is washed out, C1) jointly washing out the coloring agent (F) and cleaning agent (R), wherein the coloring agent (F) includes at least one oxidation dye precursor and/or at least one direct dye and the cleaning agent (R) includes at least one anionic surfactant. A multicomponent packaging unit includes the coloring agent (F) and the cleaning agent (R).