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Charles Saatchi and Nigella Lawson did not attend the hearing at the High Court.
A district judge listened as an assistant read out Lawson and Saatchi's names together with those of 14 other divorcing couples.
The judge asked: "Does any party or person wish to show cause against decrees being made or in the question of costs?"
A decree nisi is a statement saying the court sees no reason why a divorce cannot be granted.It is thought the divorce will be rubber-stamped some time in September.
In a hearing at London's High Court which lasted less than a minute, District Judge Anne Aitken granted Nigella Lawson and Charles Saatchi a decree nisi - the first legal step to ending their 10-year marriage.
Saatchi, 70, and Lawson, 53, now have to wait for a decree absolute, which is usually issued six weeks and a day later, ending their marriage.
TV chef Nigella Lawson and millionaire art collector Charles Saatchi were granted a decree nisi at the High Court.
Charles Saatchi and Nigella Lawson confirmed they would not make any financial claims against the other, ruling out prolonged legal arguments.
Earlier this year Saatchi accepted a police caution for assault after photographs emerged appearing to show him holding his wife by the throat.
Saatchi later told the Mail on Sunday the pictures gave a "wholly different and incorrect implication".
But he also told the newspaper: "I feel that I have clearly been a disappointment to Nigella during the last year or so, and I am disappointed that she was advised to make no public comment to explain that I abhor violence of any kind against women, and have never abused her physically in any way."
The 10-year marriage of celebrity chef Nigella Lawson and millionaire art collector Charles Saatchi is set to end in a so-called "quickie divorce" at the High Court today.
A judge is expected to grant a decree nisi at a brief hearing in central London.
A decree nisi is a statement saying the court sees no reason why a divorce cannot be granted.
If it is granted, Saatchi, 70, and Lawson, 53, will then have to wait for a decree absolute, which is usually issued six weeks later and ends the marriage.