A drilling system, comprising a non-rotating conveyance system; a tool connected to the non-rotating conveyance system and including anchors by which the tool can be anchored in position when located in a borehole; a drill bit connected to the tool; a motor for rotating the drill bit; and a directional control system interposed between the tool and the drill bit; wherein, in use, whit the drilling system located in a borehole, the directional control system can be operates so as to displace the drill bit away from the axis of the borehole.