That isn't how democracy works
Sometimes democracy doesnt work.
The idea that a 4% majority on a 72% turnout is democracy is bizarre, particularly given the volume of leavers now regretting their vote, or only having voted in protest.
There's a reason referenda are banned in Germany - the Nazis manipulated popular ignorance to get results that they could claim were 'democratic' but were anything but. The German populace had no idea of the consequences of their votes, or what they were really voting for.
If you give a vote to an electorate many of who are not educated, informed or experienced enough to understand the issues, and in this case are angry with the government for reasons that are nothing to do with the EU, you will not get a representative or sensible result.