Albert Barnes Commentary Leviticus 1:6

"And he shall flay the burnt-offering, and cut it into its pieces." — Leviticus 1:6 (ASV)

And he shall flay - The sacrificer, or his assistant, had to skin and cut up the victim. The hide was the gratuity of the officiating priest (Leviticus 7:8).

His pieces - That is, its proper pieces, the parts into which it was usual for a sacrificed animal to be divided.