A multi-tooth jaw for a torque stopper device prevents rotation of downhole tools suspended in a wellbore casing. The jaw includes a base for positioning adjacent an outside wall of the torque stopper and a hinge connection allowing the jaw to pivot around an axis of rotation running lengthwise through the base. The jaw further includes a plurality of radial tips, i.e., teeth, each a different distance from the axis of rotation. When viewed from a side with the axis of rotation being a point around which the jaw pivots, the tips are in ascending order of distance with a first, leading tip having a shortest distance from the axis of rotation as the jaw pivots from a stowed to a deployed position. A torque stopper device with the multi-tooth jaw supports a range of casing internal diameters. A repair kit allows swapping a one-tooth jaw with the multi-tooth jaw.