EXCLUSIVE

11:52 AM PT -- TMZ Sports has obtained the divorce docs in which Scottie says the couple has a prenup in place.

Pippen also wants Larsa to receive child support for their 4 kids -- though the amount is yet to be determined.

11:32 AM PT -- Larsa Pippen has issued a statement through her rep saying:

"After careful consideration and 19 years together, Larsa and Scottie have each filed for dissolution of their marriage."

"Although they are no longer to be married, Larsa remains hopeful that she and Scottie will always do what is best for their 4 beautiful children and jointly raise them with love and respect."

"She would like to thank everyone for their understanding and kindly ask for privacy from the media during this difficult time of transition for her family."

It's over for Scottie and Larsa Pippen -- the NBA Hall of Famer has filed for divorce from the 'Real Housewives of Miami' star ... TMZ Sports has learned.

Scottie filed divorce docs in Florida earlier this week seeking to end the marriage, this according to court documents. The two have been married since 1997 and have 4 kids together.

Unclear what happened ... they were just seen together at NY Fashion Week in September where their 7-year-old daughter, Sophia, was modeling in a fashion show. At the time, both Scottie and Larsa were wearing their wedding rings.

Larsa is best friends with Kim Kardashian's family and is often featured on "Keeping Up with the Kardashians."