The invention relates to a surgical device (100) designed to be inserted into a stump or a hollow organ (40) of a person or animal in order to prepare a circular anastomosis, wherein the device (100) is designed without a stapling unit for producing a surgical stapled scam, wherein the device (100) has an instrument shaft (120) having a handle section (121, 300) and, at the end of time instrument shaft (120) away from the handle section (121, 300), a head section (130) that is or can be coupled to the instrument shaft (120) by means of a detachable coupling (113), wherein the handle section (121, 300) is designed for a user to hold the device (100), wherein the head section (130) has at least one first molded body (109) and a counter-pressure plate (111) of a surgical circular stapling device (160) connected to the first molded body (109), wherein the surgical device has fu least one first molded body (109) and one second molded body (108) between the handle section and the counter-pressure plate, the second molded body being arranged immediately adjacent to the first molded body (109), wherein a third cross-section reduction (122), which is used as a cutting aid for severing a part of the hollow organ (40) and which rotates about the longitudinal axis of the device (100), is present between the first molded body (109) and the second molded body (108), at which third cross-section reduction the cross-section of the device (100) is reduced relative to the cross-section of the first and second molded bodies (108, 109), wherein the first and second molded body (108, 109) have rounded transitions without edges at the transitions to the third cross-section reduction (122).