A cutting unit for recovering gluten from a mixture containing starch and gluten, having a housing in which is formed a cutting chamber having an inlet and an outlet. A first shaft, which is mounted in a rotatable manner in the housing, has a multiplicity of first disc-like cutting tools, which are fitted in a rotationally fixed manner on the first shaft, wherein in each case two adjacent cutting tools of the multiplicity of first cutting tools are spaced apart from one another axially to form an interspace. A second shaft, which is mounted in a rotatable manner in the housing is arranged parallel to the first shaft and has a multiplicity of second disc-like cutting tools, which are fitted in a rotationally fixed manner on the second shaft, wherein in each case two adjacent cutting tools of the multiplicity of second cutting tools are spaced apart from one another axially to form a further interspace. The first and second cutting tools are arranged in the cutting chamber, wherein the first and the second shafts are spaced apart from one another radially, and the multiplicity of first cutting tools are offset axially relative to the multiplicity of second cutting tools, such that at least one portion of one of the multiplicity of second cutting tools engages in an interspace. A respective gap having a width of at least 0.3 mm is formed in the axial direction between the at least one engaging portion and the two adjacent, interspace-forming first cutting tools.

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