The prime minister campaigned for "Remain" during the 2016 referendum. "In the latest poll 45% think Britain is wrong to leave, 42% right to Leave", a press release on the results of the poll said.
For May, the most hard issue, and the main obstacle to a divorce agreement with the European Union, is the Irish border issue.
Since formal negotiations began between the two sides last June, an agreement has been struck on a Brexit "divorce bill" - but the crucial issue of how they will trade together has yet to be settled.
The prime minister has been touring the United Kingdom today to mark the one year anniversary of her triggering Article 50.
Former British prime minister Tony Blair urged Mrs May to offer a free vote in the Commons on the final Brexit deal, telling the Independent that if she did not, Labour and Tory MPs should be ready to vote with their conscience and rebel.
Labour has been scrambling to clarify its position on Brexit after Shadow Foreign Secretary Emily Thornberry suggested the party would back the deal May negotiates with Brussels.
And Mr Blair told BBC Radio 4's Today programme it was "more likely we can stop (Brexit) now than it was a few months ago".
The PM will start the day by visiting textile workers at a factory in Ayrshire, before travelling to Newcastle to meet with a local parent and toddler group.
Addressing voters, she said the UK "will thrive as a strong and united country that works for everyone, no matter whether you voted Leave or Remain".
She said: "Let's be clear, there is no power grab, we are not taking back any of the powers that are now devolved to the Scottish Government, indeed the Scottish Government will be receiving more powers as a result of us leaving the European Union".
"It's very roundabout and complicated but essentially yes there is a dividend from leaving the European Union".
And Theresa May's message is suitably upbeat.
"I am determined that our future will be a bright one", she said ahead of the roughly 1,280 km trip ending in London. It's a future in which we trade freely with friends and partners across Europe and beyond.
"There's a whole list of something like 150 powers, the vast majority of them are actually powers that are going to be directly devolved to the Scottish Government". I said the sky won't fall in, but it will be different and it will be different.
'That means ensuring that no new barriers are created within our common domestic market and that the United Kingdom is able to meet its worldwide obligations in the future'. "No prime minister could leave these things to chance", she added.