The paper presents a technological analysis, the phases and working methods, as well as the parameters of the processing cycle of a flange for a high-pressure hydraulic gear pump, which has the code FHP-05-12-24, made of polymeric material of ERTALON 66 SA type. The processing was made by cutting with the help of an educational milling and drilling machine with numerical control called EMCO MILL 55 CNC. The commands were programmed through a computer interface, using a conventional numerical code that commands the same kinematic chains, defining specific elements such as the geometric structure of the part, the technological conditions, the structure of the CNC kinematics, the calculation of the programmable coordinates, the parameters of the cutting tools and the parameters of the cutting regime. Based on the characteristics of the polymer material, but also on the identification of programmable functions and routines, the complete development cycle of the complex part processing operations was defined using special functions dedicated to the drilling and milling processes of the profiled surfaces. The part program structure contains program blocks associated with each stage and machining tools. The purpose of the study is to highlight, at an early stage, how students and young researchers can use computer numerical control (CNC) machines, which can be used as a support for the physical processing of complex surfaces, possibly obtained by digitizing and measuring data through a digital correlation based on specialized software products (e.g. GOM Scan, GOM Inspect, FEM analysis, etc.).