Nearly two in three Scots would much prefer to remain in the EU than to accept a no-deal Brexit, a new poll has found.

The YouGov poll found that Scots in a three-way transferable vote, where the public would vote on three outcomes in order of preference — 62 per cent would put their first preference towards remaining with just 13% leaning towards leaving with a deal, and 26% towards leaving with no-deal.

Across the UK, 50% preferred to remain. Those between 18 and 24 were more adamant remainers with three in four wanting to stay in the EU.

In the three way exit deal referendum idea forwarded by former Cabinet minister Justine Greening that would eliminate the least popular option of leaving with a deal in the first round.

After the second preferences of 'leave with deal' voters were allocated, the final result in Scotland handed remain a 66% share and leave with 34%.

The Herald: Scotland votes to Remain, but rest of UK votes Brexit

The referendum idea was itself unpopular with UK voters, with only 36% in favour of the proposal and 47% against the idea.

The former education secretary argued the final Brexit decision should be given back to the people and out of the hands of "deadlocked politicians".

She called for three options to be on the ballot paper: the prime minister's Chequers deal, staying in the EU or a clean break from Europe with no deal.

The UK is due to leave in March 2019.

Downing Street rejected Justine Greening's call for a fresh referendum on the UK's exit from the EU, saying it will not happen "in any circumstances".

The poll also found that 60% of Scots thought in hindsight that it was wrong to leave the EU, compared to 46 per cent across the UK.

But 47% of those Scots polled did not think that once the Brexit negotiations were complete and the terms of Britain's exit have been agreed, that there should be another referendum to accept or reject them.