A method for cutting and removing at least one workpiece part with a complex contour or with an asymmetrical contour from a plate-shaped material, in particular a metal sheet, - in which the at least one workpiece part is cut with a cutting jet directed at the plate-shaped material and the workpiece part is separated from the plate-shaped material, - in which the at least one workpiece part is removed as a removal part from the plate-shaped material, which remains as a residual lattice, wherein - the cut-free workpiece part is raised from a workpiece support plane of the plate-shaped material by a lifting device, or - the cut-free workpiece part is discharged downwards out of a workpiece support plane by an ejector device, or the cut-free workpiece part is discharged downwards out of the workpiece support plane by means of gravity, characterized in that, - before the workpiece part is cut free for removal from the residual lattice, at least one sacrificial part adjacent to the workpiece part is cut, which is formed between the workpiece part and the residual lattice and partly has a common cutting line with the workpiece part, and a cutting line which extends between the sacrificial part and the residual lattice, and - at least one sacrificial part is cut out of the plate-shaped material before the workpiece part is cut out of the plate-shaped material or the residual lattice, - wherein the at least one sacrificial part is cut adjacent to a complex contour of the workpiece part, which is formed by an undercut, a hook-shaped area, an acute angle or an obtuse angle, and/or wherein the at least one sacrificial part is cut such that after removal of the sacrificial part, a sufficiently large free space is formed in the plate-shaped material which allows engagement of at least one lifting pin or ejector element on the workpiece part without any contact between the lifting pin or ejector element and the residual lattice. - in which the at least one workpiece part is cut with a cutting jet directed at the plate-shaped material and the workpiece part is separated from the plate-shaped material, - in which the at least one workpiece part is removed as a removal part from the plate-shaped material, which remains as a residual lattice, wherein - the cut-free workpiece part is raised from a workpiece support plane of the plate-shaped material by a lifting device, or - the cut-free workpiece part is discharged downwards out of a workpiece support plane by an ejector device, or the cut-free workpiece part is discharged downwards out of the workpiece support plane by means of gravity, characterized in that, - the cut-free workpiece part is raised from a workpiece support plane of the plate-shaped material by a lifting device, or - the cut-free workpiece part is discharged downwards out of a workpiece support plane by an ejector device, or the cut-free workpiece part is discharged downwards out of the workpiece support plane by means of gravity, - before the workpiece part is cut free for removal from the residual lattice, at least one sacrificial part adjacent to the workpiece part is cut, which is formed between the workpiece part and the residual lattice and partly has a common cutting line with the workpiece part, and a cutting line which extends between the sacrificial part and the residual lattice, and - at least one sacrificial part is cut out of the plate-shaped material before the workpiece part is cut out of the plate-shaped material or the residual lattice, - wherein the at least one sacrificial part is cut adjacent to a complex contour of the workpiece part, which is formed by an undercut, a hook-shaped area, an acute angle or an obtuse angle, and/or wherein the at least one sacrificial part is cut such that after removal of the sacrificial part, a sufficiently large free space is formed in the plate-shaped material which allows engagement of at least one lifting pin or ejector element on the workpiece part without any contact between the lifting pin or ejector element and the residual lattice.