This is the 5654th most frequent Spanish word.
quedándose
"Staying" or "remaining."
'Quedándose' is used here in its reflexive form to describe the ongoing action of falling asleep.
El gato está quedándose dormido en el sofá.
The cat is falling asleep on the couch.
In this context, 'quedándose' indicates the act of staying temporarily at a place.
Ella está quedándose en el hotel cerca de la playa.
She is staying at the hotel near the beach.
Here, 'quedándose' is used reflexively to express the action of keeping something for oneself.