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Cameron Insists Britain "Mustn't Turn Our Backs On Europe."

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MIAMI (CBSMiami) -- British Prime Minister David Cameron said Tuesday he hopes talks on Britain leaving the European Union can be as constructive as possible and insists the British people "mustn't turn our backs on Europe."

Cameron announced his country is leaving the bloc at a historic EU summit on Tuesday.

"These countries are our neighbors, our friends, our allies, our partners and I very much hope we'll seek the closest possible relationship in terms of trade and cooperation and security, because that is good for us and that is good for them," said Cameron before the meeting in Brussels, Belgium.

Meantime, EU Commission President Jean- Claude Juncker said Tuesday morning, he's not happy with the 'Brexiters' at all.

'Why are you here, you voted to leave," said Juncker.

There was plenty of anger to go around, especially from Brexit campaigner Nigel Farage.

"Now I know that virtually none of you have ever done a proper job in your lives," said Farage.

Cameron says it up to Britain to decide when to call in the lawyers and start divorce proceedings - the co-called 'Article 50' of the EU treaty.

"Before we do that, we need to determine the kind of relationship we want with the EU and that is rightly something for the next prime minister and their cabinet to decide," said Cameron.

Related: UK Leaders Left To Figure Out 'Brexit' Plan

Cameron announced his resignation after last week's British referendum to leave the EU.

Politician Boris Johnson who is the current front-runner for the next prime minister position is stalling. The leave side doesn't seem to have worked out the play book for its drive to departure.

As with any separating couple, the hope for an amicable divorce rarely survives the first shot across the table. Tuesday's meeting was scheduled as a two-day meeting but Cameron has already been uninvited for the second day.

The EU council president says he is planning a special meeting of EU leaders in September, without Britain's prime minister, to chart a way ahead.

Britain is the first country to leave the European Union in the EU's 60-year history.

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