to make progress, especially when this is slow or difficult :
We are making little headway with the negotiations.
The boat was unable to make much headway against the tide.
to make progress, especially when this is slow or difficult :
We are making little headway with the negotiations.
The boat was unable to make much headway against the tide.
Oxford Advanced Learner's English Dictionary. Оксфордский английский словарь для изучающик язык на продвинутом уровне. 2005