וּפָשַׁט֙ אֶת־בְּגָדָ֔יו וְלָבַ֖שׁ בְּגָדִ֣ים אֲחֵרִ֑ים וְהוֹצִ֤יא אֶת־הַדֶּ֙שֶׁן֙ אֶל־מִח֣וּץ לַֽמַּחֲנֶ֔ה אֶל־מָק֖וֹם טָהֽוֹר׃
At huhubarin niya ang kaniyang mga kasuotan at magsusuot siya ng ibang mga kasuotan, at ilalabas niya ang abo sa labas ng kampamento, sa isang malinis na lugar.
Sefer HaChinukh
From the laws of the commandment is that which they, may their memory be blessed, said (Yoma 23b) that the lifting of the ashes is one of the services of the priesthood. But the priestly garments in which they would lift the ashes were lowlier than the vestments that he would use for the other services; as it is stated (Leviticus 6:4), “And he shall take off his clothes and wear other clothes.” And even though this verse was stated about the removal of the ashes to outside of the camp, nonetheless also with the lifting of the ashes — which is when he removes them from on the altar and puts them down on the floor next to the altar — we should learn that it also not fitting to do that service with those clothes in which he serves (otherwise). And it is said about this metaphorically (Shabbat 114a), “He should not mix the cup for his master [while wearing] the clothes [he wore while] he cooked the food for his master.”