Abstract: Apparatus for drilling lateral drainholes from a well casing comprises a flexible shaft having a bit at the lower end; the shaft extending through a shaft guide conduit anchored within the casing adjacent an oil-bearing formation. The “L” shaped guide conduit re-directs the shaft from an path parallel to the casing, through an elbow, to a path substantially perpendicular to the casing. The flexible shaft is formed of a helically wound outer coil spring and one or more helically wound and smaller inner coil springs residing concentrically therein. Each coil spring is closely fitted within the other. Each coil spring is wound opposite in direction to that of the next adjacent coil spring so as to interfere when under torsion. Bushings are located within the elbow for causing the shaft to flex and turn while permitting rotation and axial movement therethrough. A motor imparts torque into the top of the shaft, preferably through an intermediate driveshaft.