My mother cut up the chicken and divided it among us.

Literal

Mother [topic-は] that chicken [object-を] us [for-に] cut-[sequential-て] divided-[benefactive-てくれた]

切って分けてくれた = 'cut and divided (for us).' Two chained actions + benefactive. 鶏肉 (とりにく/けいにく) = chicken meat.