Some 82 percent of Leave voters want EU migrants treated in the same way as non-EU migrants after Brexit | Isabel Infantes/AFP via Getty Images Brits want to end free movement but keep trade deals: report Remain and Leave voters have similar views on the kind of Brexit they would like to see, survey shows.

A majority of Brits want an end to freedom of movement when the U.K. leaves the EU, according to a report from the National Centre for Social Research published Tuesday.

Some 82 percent of Leave voters want EU migrants treated in the same way as non-EU migrants after Brexit, the researchers found, and 58 percent of Remain voters agree. A majority in both camps think the same rules should apply to British migrants in the EU.

However, the vast majority of Leave (88 percent) and Remain (91 percent) voters want to maintain free trade with the EU.

There is also widespread acceptance (55 percent) that Britain will have to make some kind of financial contribution to the EU budget in return for participating in some Europe-wide programs.

“For the most part, Remain and Leave voters are not at loggerheads on the kind of Brexit they would like to see," John Curtice, the author of the report, said.

"Many Remain voters would like to see an end to the less popular parts of Britain’s current membership of the EU, while many Leave voters would like to retain the seemingly more desirable parts, such as free trade, cheap mobile phone calls, and clean beaches."

The survey on what voters want from Brexit involved 2,322 respondents and was carried out between early February and early March.