In order to be able to shingle articles individual slices or partial portions of slices shingled in a longitudinal direction in a transverse direction relative to the running direction of conveyor units on which these articles are transported, the two conveyor units, on each of which one of the two articles is fully supported, are not brought to overlap in order to achieve the transverse shingling, but one of the articles is transported on its conveyor unit with a lateral overhang to the other conveyor unit, and the other article placed there on the edge side with such a height difference that the two articles can finally overlap and be placed on top of each other. However, the two conveyor units only have to be guided closely next to each other for this purpose without overlapping themselves. This simplifies the design of the overlapping unit and reduces its overall height.