Kim Kardashian and sister Kourtney stop by “The Late Show with David Letterman” Wednesday night (Jan. 16). Check out this sneak peek clip, where Kim talks about her marriage — and impending divorce — with Kris Humphries.

Letterman:  “Now, you’re still married to the former husband, Kris Humphries?  You’re still married to him.”
Kim Kardashian:  “Yes, I am.”
Letterman:  “Now, when are you going to wrap that up?”
Kardashian:  “Well, I’m trying, and it’s a process…I’ve been trying for almost two years now, um, to wrap it up, but it’s, you know, it’s hard.”
Letterman: “What does Mr. Humphries – I guess it’s none of my business – but what does he want?  Does he want his own show?”
Kardashian:  “I can’t speak for Kris, but I just want him to be happy and I want us to move on, and that’s really what I want, is just to move on.”
Letterman:  “…When the divorce comes through – and he wants an annulment, is that right?”
Kardashian:  “Yes.”
Letterman:  “…Why an annulment?  What’s the difference here?”
Kardashian:  “I don’t really know ’cause even if we got an annulment – I would love to give him one but then that would make – the only legal way to get an annulment is if fraud were involved, so that’s what tricky.  So he is suing me for an annulment based on the fact that I frauded him into marrying him for publicity.”
Letterman:  “Oh, so he’s claiming that he was the victim of fraud.”
Kardashian:  “Yes, well, that’s the only way to get an annulment is if one person was frauded, so that was the case.”
Letterman:  “But fraud was not a factor here, is that right?”
Kardashian:  “Not in my case, no.”

Then Kourtney pipes up, “But I think if she was going to do it for publicity, she’d pick someone that people knew.”  A laughing Letterman responds, “Wow – ouch!”

Watch the entire interview on “The Late Show” at 11:35 ET/PT on CBS.