Albert Barnes Commentary Leviticus 16:10

"But the goat, on which the lot fell for Azazel, shall be set alive before Jehovah, to make atonement for him, to send him away for Azazel into the wilderness." — Leviticus 16:10 (ASV)

On which the lot fell to be the scapegoat - Rather, on which the lot ‘for Azazel’ fell.

An atonement with him - The goat “for Azazel” was to be considered as taking his part along with the other goat in the great symbol of atonement.

For a scapegoat into the wilderness - Rather, “to Azazel, into the wilderness.”