Persevering after the loss of a loved one can be one of the hardest, most brutal challenges in your career. And while it happens to the best of us, solace--fortunately--can come from a variety of places.

For leaders like Facebook's Chief Operating Officer Sheryl Sandberg, who lost her husband Dave Goldberg in May after he died in a treadmill accident, hearing stories similar to her own have helped. "The experience of grief is profoundly personal, the bravery of those who have shared their own experiences has helped pull me through," she wrote in a recent blog post.

U.S. Vice President Joe Biden echoed a similar tone on Thursday when he sat down with Stephen Colbert on The Late Show. After his son Beau died of brain cancer in May, Biden notes that he's been able to draw inspiration from others. Millions of Americans do so every day, he said. 

"Think of all the people you know who are going through horrible things, and they get up every morning and they put one foot in front of the other," Biden said. "I marvel at the ability of people to absorb hurt, and just get back up."  

Both Biden and Colbert have experienced significant personal loss in their lives. Biden's wife and one-year-old daughter were killed in a car accident shortly after he was elected to the Senate in 1972. Two years later, Colbert lost his father and two of his brothers in a plane crash.

In the same way Biden has drawn inspiration from others in times of loss, Colbert told the vice president that his leadership following the loss of his son has served as an inspiration to Americans. 

"You have experienced tragedies in your life and we are inspired by the way you have responded to those," Colbert said.

To hear more of the conversation, watch the video below.