An orphanage is an institution dedicated to taking care of orphans until they either become an adult, are adopted, or placed into foster care.
Cyclops was in an orphanage following the disappearance of his parents. He was eventually taken in by Professor X as part of the X-Men.
Jubilee was in an orphanage before she was placed in foster care. There, she learned how lock picking from another orphan.
Cyclops once returned to his old orphanage only to find Zebediah Killgrave using it to recruit henchmen.