Once the first priest has removed the small amount of ashes, the other priests can now attend to the more general preparation of the altar:
"When they see that their colleague has descended, they run to the laver and sanctify their hands and feet. Then they take the rakes and forks, and ascend to the top of the altar" (Tamid 2, 1).
These priests must now gather together any parts of the sacrifices which were not burned into ashes during the night; with the large forks (see I Sam. 2:14), they move these portions to the sides of the altar (since it is forbidden to remove any part of a sacrifice from atop the altar).