ToughDaddy, to make a woman feel listened to:
Look at her when she is talking (not at the TV or a newspaper etc)
Don't keep interrupting to offer solutions. This is what a typical man would want you to do but a typical woman just wants to feel listened to and understood
Make little noises to show you are listening eg mmm, yes, I see, I know what you mean, I understand
Validate her feelings - this means make her feel like she is not being stupid to feel the way she does. So you might say something like "Yes I felt a bit like that as well when x happened to me"
Ask questions to make sure you understand what she is really saying by repeating/rephrasing what she just said but in slightly different words eg "so you are saying you feel angry because x?" If you explain back to her how you have understood what she said in your own words she will feel you really do understand.
Men often talk in order to get solutions from the conversation. Women talk in order to vent their feelings and tell you how shit everything is. If you want her to shut up and stop going on quicker, the best thing you can do is hardly say anything, just make the listening noises etc til she has said it all. If she feels listened to she will feel much better and relieved and will shut up about it much quicker. She will also think you are wonderful! If you don't believe me just try it!