An apparatus for handling paper sheets and the like has a mechanism for discharging the paper sheets. The mechanism is provided with a scraper for scraping the paper sheets having wound around a wheel from the wheel. The scraper has a tip end and an opposite end that is rotatably supported in a direction close to or away from the wheel so that the tip end can maintain contact with an outer peripheral surface of the wound paper sheets. The scraper includes a first scraper section and a second scraper section. The first scraper section is rotatably supported in the direction close to or away from the wheel, and is urged toward an outer peripheral surface of the wheel. The second scraper section is rotatably supported on the first scraper section in the direction close to or away from the wheel, and is urged in a direction in which a tip end of the second scraper section rotates toward the outer peripheral surface of the wound paper sheets.