I'm having a difficulty using the right preposition with the phrase "make headway". When I looked the word up from online Oxford and Cambridge Dictionaries, I found they use different prepositions.
they appear to be making headway in bringing the rebels under control
So far it seems that negotiations are not making headway on a key issue.
I'm trying to learn to drive, but I'm not making much headway (with it).
Little headway has been made so far in the negotiations.
Haven't I noticed the use of "with, on, and into" prepositions, I would normally use the preposition "in". Is there a specific rule?