Rumer Willis Talks About Her Parents' Split

— -- When Bruce Willis and Demi Moore reunited Monday night to cheer on their oldest daughter Rumer Willis as she made her big debut on the premiere of "Dancing with the Stars," it was just the latest time the famous exes have come together to support their children.

Recently, Rumer Willis praised both her parents for the graceful way they handled their split.

"I was 10. I mean, I think at that time I didn't have as much of an understanding of the public side of it to have that affect me as much," Rumer, 26, explained to Larry King on his new Ora.TV show, "Larry King Now," which aired Monday. "But I have to say, I'm so thankful and grateful that my parents made such an effort at that time."

Though her parents split in 2000, they not only remained friendly but made an effort to keep to provide a stable environment for Rumer and her two sisters, Scout, 23, and Tallulah, 21.

"I never had to split up vacations or split up birthdays," Rumer Willis told King. "They always made an effort to do all of the family events still together and made such an effort to still have our family be as one unit, as opposed to two separate things, which I think really made an impact."

She told ABC's "Nightline" that her parents were unusual in that way.

"They really set a trend of people who had split up being able to still really have a family dynamic," Willis told "Nightline." "I have so much gratitude that that’s the way I was raised, that I didn’t have to split holidays or birthdays."

She also wasn't surprised to have both parents and her two sisters turn up for her "Dancing" debut, where she earned the highest score of the night along with partner Val Chmerkovskiy.

"I feel really grateful that I have a family that’s so supportive of all the crazy and whacky things that I decide to do," Willis told "Nightline." "So I feel very lucky that all of them are coming to support me."