Differential steering in tanks involves one tread being halted while the other moves, causing the tank to turn towards the stationary side due to torque. The center of rotation is influenced by weight distribution, typically located within the footprint of the halted track. The discussion highlights that the tank may skid outward during turns, especially on different surfaces, and emphasizes the inefficiency of the track system, which can lead to road scuffing. It is noted that tight turns may require reversing one track, but this can only occur if the track is stopped. Overall, the mechanics of tank steering are complex and differ significantly from those of wheeled vehicles.