to receive favor; to receive assistance; to receive help; to be looked after; to be taken care of; to become dependent (on); to become much obliged (to someone); to become indebted
先生には大変お世話になりました。
I am very much obliged to my teacher.
留学中、多くの方にお世話になった。
I received help from many people during my time studying abroad.
昔からお世話になっている方だ。
This is someone who has been helping me since long ago.