Method for determining a current precise position of an elevator car driven by a drive engine along an elevator hoistway of an elevator arrangement, wherein an encoder, which cooperates with the drive engine, provides a first signal indicating with a high precision the position of the elevator car within a partial hoistway range, the partial hoistway range extending along a fraction of an entire length of a travel path of the elevator car throughout the hoistway and the partial hoistway range being one of a plurality of directly neighbouring partial hoistway ranges together extending along the entire length of the travel path, and wherein a rough position indicator provides a second signal indicating with a low precision the position of the elevator car within the entire hoistway length, the method comprising: determining a current rough position of the elevator car within the entire hoistway length based on the second signal, the current rough position deviating from an exact real position of the elevator car by up to an first inaccuracy length, and determining the current precise position of the elevator car within the entire hoistway length based on the first signal and taking into account the current rough position, the current precise position deviating from the exact real position of the elevator car by up to a second inaccuracy length being smaller than the first inaccuracy length wherein, based on the second signal, it is determined as the current rough position in which one or neighbouring two of the plurality of partial hoistway ranges the elevator car is currently situated and subsequently, based on the first signal, it is determined as the current precise position where in the selected one or neighbouring two partial hoistway ranges the elevator car is currently situated, wherein the drive engine drives the elevator car by rotating a drive disk engaging with a belt connected to the elevator car characterized in that the partial hoistway range corresponds to a travelled distance by the elevator car during one revolution of the drive engine (S7, Z 19-20) and the encoder generates the first signal such as to unambiguously correlate to a current orientation of the drive disk. determining a current rough position of the elevator car within the entire hoistway length based on the second signal, the current rough position deviating from an exact real position of the elevator car by up to an first inaccuracy length, and determining the current precise position of the elevator car within the entire hoistway length based on the first signal and taking into account the current rough position, the current precise position deviating from the exact real position of the elevator car by up to a second inaccuracy length being smaller than the first inaccuracy length wherein, based on the second signal, it is determined as the current rough position in which one or neighbouring two of the plurality of partial hoistway ranges the elevator car is currently situated and subsequently, based on the first signal, it is determined as the current precise position where in the selected one or neighbouring two partial hoistway ranges the elevator car is currently situated, wherein the drive engine drives the elevator car by rotating a drive disk engaging with a belt connected to the elevator car characterized in that the partial hoistway range corresponds to a travelled distance by the elevator car during one revolution of the drive engine (S7, Z 19-20) and the encoder generates the first signal such as to unambiguously correlate to a current orientation of the drive disk.