Device for dividing sausages into portions from a continuous sausage made of a flexible casing containing food product, the device comprising: - a support; - a succession of clamping members movable around the support, each clamping member including a pair of clamps, of which one female clamp and one male clamp, at least one of the male clamp and the female clamp being movable along a clamping axis perpendicular to a scrolling axis of the continuous sausage in the clamping member, the clamps being able to be moved by a movement of the clamping member around the support in a reciprocating movement between an opening position and a closing position, the clamps in the closing position being intended to clamp and pull the continuous sausage on the support during the movement of the clamping member around the support; - at least one cutting member; wherein the male clamp has a front edge, and the female clamp has two front edges, a recess extending between the two front edges and a bottom, the front edges of the female clamp having a V-shaped cross-section along a cut transversal to the scrolling axis, and wherein, for each pair of clamps in the closing position, the front edges (810, 820) of the male clamp and of the female clamp provide a passage, each female clamp having a pair of vanes, the vanes each extending from one of the front edges, outside of the recess, the pair of vanes flaring in the direction of the bottom of the recess, each male clamp comprising: - two side faces extending from the front edge to a rear part of the male clamp; characterised in that each male clamp also comprises an excrescence on each of the side faces, the excrescences each having a front face extending from a part of the front edge of the male clamp which contributes to providing the passage; the two front faces flaring in the direction of the rear part of the male clamp. - a support; - a succession of clamping members movable around the support, each clamping member including a pair of clamps, of which one female clamp and one male clamp, at least one of the male clamp and the female clamp being movable along a clamping axis perpendicular to a scrolling axis of the continuous sausage in the clamping member, the clamps being able to be moved by a movement of the clamping member around the support in a reciprocating movement between an opening position and a closing position, the clamps in the closing position being intended to clamp and pull the continuous sausage on the support during the movement of the clamping member around the support; - at least one cutting member; wherein the male clamp has a front edge, and the female clamp has two front edges, a recess extending between the two front edges and a bottom, the front edges of the female clamp having a V-shaped cross-section along a cut transversal to the scrolling axis, and wherein, for each pair of clamps in the closing position, the front edges (810, 820) of the male clamp and of the female clamp provide a passage, each female clamp having a pair of vanes, the vanes each extending from one of the front edges, outside of the recess, the pair of vanes flaring in the direction of the bottom of the recess, each male clamp comprising: - two side faces extending from the front edge to a rear part of the male clamp; characterised in that each male clamp also comprises an excrescence on each of the side faces, the excrescences each having a front face extending from a part of the front edge of the male clamp which contributes to providing the passage; the two front faces flaring in the direction of the rear part of the male clamp. wherein the male clamp has a front edge, and the female clamp has two front edges, a recess extending between the two front edges and a bottom, the front edges of the female clamp having a V-shaped cross-section along a cut transversal to the scrolling axis, and wherein, for each pair of clamps in the closing position, the front edges (810, 820) of the male clamp and of the female clamp provide a passage, each female clamp having a pair of vanes, the vanes each extending from one of the front edges, outside of the recess, the pair of vanes flaring in the direction of the bottom of the recess, each male clamp comprising: - two side faces extending from the front edge to a rear part of the male clamp; characterised in that each male clamp also comprises an excrescence on each of the side faces, the excrescences each having a front face extending from a part of the front edge of the male clamp which contributes to providing the passage; - two side faces extending from the front edge to a rear part of the male clamp; characterised in that each male clamp also comprises an excrescence on each of the side faces, the excrescences each having a front face extending from a part of the front edge of the male clamp which contributes to providing the passage; the two front faces flaring in the direction of the rear part of the male clamp.