The method can include : assembling the part to be machined to a pallet into an assembly; measuring a centering of the part relative to the pallet; adjusting the centering of the part relative to the pallet based on said measuring; repeating the steps of measuring and adjusting until determining that the part is centered based on said measuring; and mounting the centered assembly to an automatic machining device and machining the part of the centered assembly with the automatic machining device.