Breaking news: David Cameron has entered Number 10 Downing Street as Britain’s new Prime Minister.

In a speech outside Number 10, Mr Cameron,43, promised to put aside party differences to provide proper and full coalition government with the Liberal Democrats.

The Queen greets David Cameron at Buckingham Palace before inviting him to become the next Prime Minister following last week's General Election.

He warned there were “hard and difficult” choices ahead, but promised to look after the elderly and the vulnerable.

He also promised to restore trust in politics and make politicians the servants of the people

Brown resigns – click here

In an echo of John F Kennedy’s “Ask not what your country can do for you” inauguration speech of fifty years ago, Mr Cameron spoke of a Britain where people asked not “what are my entitlements, but what are my responsibilities”.

He said coalition government would raise challenges, but the Conservatives and the Liberal Democrats could work on solving them.

Mr Cameron arrived in Downing Street at about 8.40pm after an audience with the Queen.

He spent about 30 minutes with Her Majesty following on from the resignation of Gordon Brown at 7.45pm.

Mr Cameron’s silver Jaguar arrived at the Palace at 8.09pm – 24 minutes after Gordon Brown was driven away after handing in his resignation.

• Here is the text of Prime Minister David Cameron’s remarks in Downing Street:

“Her Majesty the Queen has asked me to form a new government and I have accepted.

“Before I talk about that new government, let me say something about the one that has just passed.

“Compared with a decade ago, this country is more open at home and more compassionate abroad and that is something we should all be grateful for and on behalf of the whole country I’d like to pay tribute to the outgoing prime minister for his long record of dedicated public service.

“In terms of the future, our country has a hung parliament where no party has an overall majority and we have some deep and pressing problems – a huge deficit, deep social problems, a political system in need of reform. For those reasons I aim to form a proper and full coalition between the Conservatives and the Liberal Democrats.

“I believe that is the right way to provide this country with the strong, the stable, the good and decent government that I think we need so badly.

“Nick Clegg and I are both political leaders that want to put aside party differences and work hard for the common good and for the national interest.

“I believe that is the best way to get the strong government that we need, decisive government that we need today.

“I came into politics because I love this country. I think its best days still lie ahead and I believe deeply in public service.

“And I think the service our country needs right now is to face up to our really big challenges, to confront our problems, to take difficult decisions, to lead people through those difficult decisions, so that together we can reach better times ahead.

“One of the tasks that we clearly have is to rebuild trust in our political system. Yes that’s about cleaning up expenses, yes that is about reforming parliament, and yes it is about making sure people are in control – and that the politicians are always their servant and never their masters.

“But I believe it is also something else. It is about being honest about what government can achieve. Real change is not what government can do on its own – real change is when everyone pulls together, comes together, works together, where we all exercise our responsibilities to ourselves, to our families, to our communities and to others.

“And I want to help try and build a more responsible society here in Britain. One where we don’t just ask what are my entitlements, but what are my responsibilities.

“One where we don’t ask what am I just owed, but more what can I give.

“And a guide for that society – that those that can should, and those who can’t we will always help.

“I want to make sure that my government always looks after the elderly, the frail the poorest in our country.

“We must take everyone through with us on some of the difficult decisions we have ahead.

“Above all it will be a government that is built on some clear values. Values of freedom, values of fairness, and values of responsibility.

“I want us to build an economy that rewards work. I want us to build a society with stronger families and stronger communities. And I want a political system that people can trust and look up to once again.

“This is going to be hard and difficult work. A coalition will throw up all sorts of challenges.

“But I believe together we can provide that strong and stable government that our country needs based on those values – rebuilding family, rebuilding community, above all, rebuilding responsibility in our country.

“Those are the things I care about. Those are the things that this government will now start work on doing.

“Thank you very much.”