You can get better programs, however they may well be paid for software that will cut or split exactly where you want.
If you want free only, have you tried Windows Movie maker? You can get that off the Microsoft site. Though the output file types are short of choice with that.
I have tried quite a few free video editors, and to be quite honest I don't think much of any of them and for a quick edit the Microsoft Movie Maker is about the best.
If you don't mind paying, there is Lightworks which I have tried which can do a tremendous amount in editing and not just splitting or cutting, however it does have quite a steep learning curve, though there are many Youtube or other written tutorials available for it.
Ther are of course many other editors, each with their own speciality and again I tried a few, though not as many as the freeware due to cost of course and though Lightworks is a yearly subscription type program, I found it the best.