Pop singing star Madonna and Guy Ritchie's divorce has been finalized following a hearing in London today. The British director and the Material Girl, who announced their separation last month, were granted a decree nisi by a judge at the clinical Principal Registry of the Family Division of the High Court in High Holburn, London. The couple will reportedly share joint custody of their sons, Rocco, 8, and David, 3, who they adopted from Malawi in 2006. The boys will split their time between Madonna in the U.S. and Ritchie in the U.K. Madonna's daughter Lourdes, 12, will live with her mother, because she is the singer's daughter from a previous relationship with Carlos Leon. Madonna and Ritchie wed at Skibo Castle in the Highlands of Scotland in 2000. The marriage will be officially dissolved in six weeks time when they will be granted a decree absolute.