Choose a day when the weather is likely to remain settled for at least a few days and your underlying road base is not too soft.
Remove all loose slag from the pothole, using both the pickaxe and shovel. Expand the size of the pothole as much as necessary until the hole has absolutely firm, well-packed edges.
Replace the slag you removed, a few shovel loads at a time. Tamp down the slag as tightly as you can with the gravel tamper. Add and tamp down more slag, a little at a time, until the hole is filled to a level somewhat higher than the surrounding road surface.
Pack the slag down as much as possible, using the roller. Properly packing the fill for any pothole is the key to long-term repair success. In the absence of a roller – which you can rent – drive back and forth across filled potholes to pack them as tightly as possible.