Adrienne Maloof and Paul Nassif Reach a Divorce Settlement

11/08/2012 at 02:25 PM EST

Adrienne Maloof and Paul Nassif Reach a Divorce Settlement
Adrienne Maloof and Dr. Paul Nassif
David Livingston/Getty
There's apparently light at the end of the tunnel for Adrienne Maloof and Dr. Paul Nassif.

What started out as one of the nastier Hollywood divorces has ended fairly peacefully.

"We're happy to announce we have reached agreement on a settlement that we are both very pleased with," the Real Housewives of Beverly Hills stars both tell PEOPLE in a statement.

"Divorce is a painful process under any circumstance and certainly more painful under the constant glare of the media spotlight. There has been so much untrue negative innuendo and destructive rumors beyond our control the past few months."

Maloof, 51, and Nassif, 50, who at one point accused each other of physical and verbal abuse, now say, "We want the best for each other and we're confident we can help each other make a continuing positive impact with our children. We're happy to be moving forward with our lives in a positive way, not only individually but as co-parents."

In the future, the pair says their goal is "for our children to have stable and nurturing relationships with both of us so we can all find as much happiness as possible."

Maloof, who originally told PEOPLE she hoped the two would "work things out," has called the divorce "very difficult."

Nassif's lawyer has said in the past, "Paul's priority is to protect his children."

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