A biopsy device includes a hollow needle, and a sample-receiving device that is movable in the hollow needle. A power-driven element having a motor is provided. A transport device is drivably coupled to the motor. The transport device includes a toothed flexible member drivably engaged with a drive gear. The toothed flexible member has a distal portion coupled to the sample-receiving device. The toothed flexible member is configured to move the sample-receiving device in the hollow needle between an extended position and a retracted position. The toothed flexible member has a proximal portion that extends proximal to the proximal end of the hollow needle. A housing element has a helical coiling-up groove configured to accommodate the proximal portion of the toothed flexible member when the sample-receiving device is retracted to the retracted position.