A drive coupling system and method of engaging/disengaging the coupling provided by a drive coupling system are disclosed. The drive coupling system includes first and second torque couplers coupled respectively to drive and driven shafts. One of the couplers includes a support and first and second members rotatably coupled to the support, where each coupler includes a respective extension and a respective plurality of gear teeth. The first and second members are capable of being respectively rotated to first and second rotational positions beyond which the first plurality of gear teeth are able to at least begin to slip out of alignment with the second plurality of gear teeth. The relative slipping of the first plurality of gear teeth with respect to the second plurality of gear teeth is limited due to contact occurring between the extensions. As the relative slipping occurs, teeth of the two members become locked.