Cutting device (1) comprises an upper part (2), a lower part (8) detachedly fixed in the upper part, and an axially moving fixing part connected to a knife (6). The lower part has a removable beaker (9) provided with a removable base part (17). The upper beaker edge (16) and the receiving edge (13) have the same diameter on the base of the beaker for the base part. Preferred Features: The base part is made from a slip-resistant material. The beaker base and/or a base insert is formed in the beaker as a cutting board. A layer of the beaker base is made from a thermoplastic material. The base insert is also made from a thermoplastic material or wood.