A method of processing an optical fiber includes introducing fiber that has passed a pulling mechanism to a shredding unit with an introducing unit. The introducing unit includes a movable unit including a notch configured to fit with a capstan roller included in the pulling mechanism, a sliding mechanism that attaches the movable unit slidably with respect to a main body of the introducing unit, and a restoring mechanism configured to restore the movable unit to an initial position when the movable unit has slid. The method includes shredding the fiber introduced by the introducing unit into fiber pieces, and suctioning, carrying, and collecting the fiber pieces. A method of drawing an optical fiber includes drawing the fiber while controlling a drawing speed, adjusting a diameter of the fiber to a diameter passable through a die, and arranging the die around the fiber having the diameter passable through the die.