Unease in Scotland following independence vote

The sun came up Saturday on a United Kingdom that will stay united, for the foreseeable future.

Voters in Scotland said "no" Thursday to a plan to end their 307-year union with England.

So what happens now: Cleaning up the mess of a campaign that exposed bitter divides within Scotland itself and raised resentment on both sides of the border.

A breakup would have been disastrous for all kinds of reasons, but sometimes staying together for the sake of the family can be tough too, CBS News' Charlie D'Agata reports.

Victory celebrations turned nasty overnight. Waving the British flag and singing "Rule Britannia" was just rubbing it in to those who lost the vote for independence, and police had to keep both sides from squaring off.

Down in London, the British government faces the challenge of dealing with the please-don't-go promises of sweeping new powers that Prime Minister David Cameron made to Scottish voters.

"We now have a chance, a great opportunity, to change the way that British people are governed and change it for the better," Cameron said.

And the man who lost the fight, Alex Salmond, warned that British politicians better keep their word.

"We have now the opportunity to hold Westminster's feet to the fire on the vow that they've made to devolve further meaningful power to Scotland," Salmond said.

But Scotland would have to do it without him.

"For me as leader, my time is nearly over," he said.

Not nearly over - over over. He quit.

On Saturday, citizens are talking about reconciliation and healing.

Even the queen, who tries to stay out of politics, called for "mutual respect and support" and that the "enduring love of Scotland" will help the country come together.

On Saturday, the man widely credited with putting the nail in the coffin of Scottish independence, former Prime Minister Gordon Brown, urged restraint.

"There is a time to fight, but there is a time to unite, and this is the time for Scotland to unite and see if it can find common purpose and move from the battleground to the common ground, and let us seek to find high ground in trying to find a way forward for the future," Brown said.

Finding the common ground might be a challenge after months of fighting. Well over a million people voted to break away from Britain, and many who chose not to did so out of fear rather than loyalty.

The referendum might be over, but the United Kingdom feels more divided than it's been for a while.