During processing the soybeans are heated-up in a first of two successively arranged fluidized beds with a rapidity such that the hulls loosen or detach from the seeds and there is obtained a honogeneous heating of all of the soybeans. The heated-up soybeans may be directly conveyed into the second fludized bed where they are maintained in a heated condition and from which location they are infed in a heated state to a breaking or cracking mill where they are crushed or cracked and then to a flaking device for the subsequent flaking thereof. It is also possible to undertake along the conveying path from the first fluidized bed to the second fluidized bed a mechanical dehulling operation at the soybeans where the hulls are separated from the seeds and the seed portions are delivered into the second fluidized bed. At that location, the seed portions are maintained in a heated condition and then they are delivered in a heated state to the breaking or cracking mill where they are crushed or cracked and then to the flaking device where they are subsequently flaked. Processing is accomplished continuously and the material is only heated-up one time.