Related על סוכה 110:23

All the divisions on duty were treated alike and divided into three lots for the bullocks, except two who were treated alike but not divided into three lots. Rabbi Eleazar ben Parata and Rabbi Eleazar ben Yacov said, “There was no balloting for the fat of the goat, but whoever offered the limbs offered also the fat.” Rabbi Haninah ben Antigonus said, “There was no balloting except for the leaders of the guards. The rest of all the guards took turns all round.” Abba Yose ben Hanin said, “There was balloting on the first day of the festival only, and all the remaining days they were taking turns all round.” How was the ballot conducted? They gathered at the cell of Gazith, where they stood closely together like a cochlear. An officer came and took the turban of one of them, for they knew that from him the lot began. Individuals among them drew out two, but did not count them more than one.