A method for electrical discharge drilling of a hole in a part made of electroconductive material, in particular for an aircraft turbomachine, the method using an electrical discharge machine including a head that can move relative to the part and has a consumable EDM electrode, which is of elongated shape and is translationally moved along its elongation axis, the method including the following steps: a) advancing the EDM electrode towards the part in order to drill a hole in the part; and b) retracting the EDM electrode and removing the EDM electrode from the hole, wherein it further includes the following steps: c) laterally moving the head; d) advancing the EDM electrode towards the part in order to scan for the part; e) computing the effective depth of the hole drilled in step a).