To run around; to move by running from place to place. Used literally (children running) and figuratively (busy running errands).
子どもたちが庭で走り回っている。
The children are running around in the yard.
新聞配達員が町中を走り回っている。
The paper deliverer is running around town.
今日は仕事で一日中走り回って疲れた。
I was running around all day for work and I'm tired.
必要な書類を探して事務所中を走り回った。
I ran around the office looking for the necessary documents.