In a method for carrying out an installation process in an elevator shaft of an elevator system, an assembly device is inserted into the elevator shaft. The assembly device includes a support component, a mechatronic installation component retained by the support component and a control apparatus. At least one assembly apparatus (tool, sensor or component) is arranged on the support component. The support component is fixed in a fixing position in the elevator shaft. After the support component has been fixed, an actual position of the at least one assembly apparatus is determined relative to the installation component. Using the determined actual position relative to the support component, the at least one assembly apparatus is received by the installation component and an assembly step is carried out using the received at least one assembly apparatus.