Bethenny Frankel Divorcing Jason Hoppy

By Sarah Michaud

01/05/2013 at 05:00 PM EST

It's official – Bethenny Frankel and Jason Hoppy's marriage is over.

Having announced a separation over the holidays, the reality star began the divorce process by filing earlier this week in New York, TMZ reports.

"It brings me great sadness to say that Jason and I are separating," Frankel, 42, had said in a statement Dec. 23. "This was an extremely difficult decision that as a woman and a mother, I have to accept as the best choice for our family."

The split comes after months of rumors that the pair – who married in 2010 and are parents to daughter Bryn, 2½ – were on the rocks.



"Bethenny is devastated," a friend tells PEOPLE.