A friend said last night: "They were both very calm. Madonna told Guy: 'I'm sorry, I want a divorce'. And he agreed. It was quite painless but very sad."
One disclosed: "He's a bit down in the dumps, and who can blame him. He's off to the country to get a bit of peace and quiet."
Friends insist the movie director is unlikely to wage a court battle for more of the star's millions. The couple have already made the welfare of their children – Lourdes, 11, Rocco, seven, and adopted David, two – their top priority.
One source said: "Guy is a decent bloke, full stop. It's not his style to start profiteering from such sorry circumstances. He's got too much respect for his wife and children."
Friends admitted the fiery relationship had become too difficult for both.
One said: "They both got tired of the fighting. It's like two prize-fighters slugging it out. Finally, they became exhausted."
A spokeswoman for the star said: "We have no comment."