British Prime Minister David Cameron Leaves The Political Stage01:57

But the new Prime Minister has also faced criticism for her strong stance on immigration, as Home Secretary, and for her more recent refusal to say whether European Union citizens would have the right to remain in the United Kingdom after Brexit.

Earlier Mr Cameron took PMQs for the final time, telling MPs he would “miss the roar of the crowd”.

The former home secretary travelled to Buckingham Palace where she officially accepted the Queen’s invitation to form a new government.

At one point, he even adopted an American accent when he recalled being approached one day in NY by someone who said, “Cameron, Prime Minister’s Questions, we love your show!”

He added: “As we leave for the last time, my only wish is continued success for this great country that I love so very much”.

Mr Cameron went on to Buckingham Palace to tender his resignation formally, accompanied by his wife, Samantha, and three children.

But one of the things that sustains you in this job is the sense that, yes, our politics is full of argument and debate, and it can get quite heated, but no matter how hard the decisions are, there is a great sense of British fair play, a quiet but prevailing sense that most people wish their Prime Minister well and want them to stick at it and get on with the job.

Cameron also said that he was beginning to like the tenacity of Corbyn in holding on to the Labour leader role, despite opposition from within the party.

Mr Cameron told then that he meant to stay in public life and would be “willing them on”, saying “nothing is impossible”.

Mr Cameron’s final words, which were greeted by a standing ovation from his party and many rival lawmakers, recalled a memorable 2005 taunt when he mocked then-Prime Minister Tony Blair with the words: “He was the future once”. “Other than one meeting this afternoon with Her Majesty, The Queen, the diary for the rest of my day is remarkably light”.

Downing Street said later that Mr Fallon would be staying on as Defence Secretary.

Cameron said he was “delighted that for the second time in British history the new Prime Minister will be a woman, and once again a Conservative”.

He says although he’s often disagreed with him he wanted to recognise some of his achievements.

He thanked his family “for keeping me vaguely sane”.

“It’s not been an easy journey and of course we’ve not got every decision right”.

Robert Buckland said: “I’ve been a strong supporter of Theresa May so I’m delighted”.

Once Cameron has met with the Queen, he will recommend that May be invited to form a government. “Larry later became the first official Chief Mouser of the residence”.

Mr Cameron likened Mr Corbyn to the hapless Black Knight comedy figure in Monty Python and the Holy Grail who was unable to see when he was beaten.

“This morning I had meetings with ministerial colleagues and others”, he said. Only Angus Robertson, speaking for the Scottish National Party, attacked Cameron over what cost him his job – his failure to win the referendum on keeping Britain inside the European Union.

The swift transition of power comes after the expected nine-week leadership campaign was truncated to just a couple of days by leading Brexit campaigner Andrea Leadsom’s surprise withdrawal.

“There is a lot of work to do, but our new Prime Minister has my full support as she takes us through this challenging but exciting time”. Asked her about her prospects, Ms Rudd told reporters: “I haven’t been told anything yet so I’m just going to get on with my day job”.