Complex sentence: Muslim pilgrims circle the Kaaba as a part of the "tawaf" ritual during the "hajj" and many try to stop and kiss the Black Stone, emulating the kiss that Islamic tradition records as it received from Muhammad.
Split into simpler sentences: Muslim pilgrims circle the Kaaba as part of the "tawaf" ritual of the "hajj". Many of them try, if possible, to stop and kiss the Black Stone, emulating the kiss that Islamic tradition records that it received from Muhammad.