I draw your attention to the regional vote at the bottom of the entry. and also the fact that only about 133 constituency boundaries match the electoral division boundaries for the referendum. This makes isolating how the constituency vote aligned a little problematical in most cases. Rather muddies the waters for making an MP accountable for the popular vote when the issue finally gets to Parliament -if ever!

Courtesy of Wikipedia:
Under the provisions of the European Union Referendum Act 2015 there were a total of 382 voting areas across twelve regions using the same boundaries as used in European Parliamentary elections since 1999 under the provisions of the European Parliamentary Elections Act 2002 with votes counted at local authority level: in England the 326 Local districts were used as the voting areas; these consist of all unitary authorities, all metropolitan boroughs, all shire districts, the London boroughs, the City of London and the Isles of Scilly.[3] The nine regions of England were then also used to count the votes at the regional level with Gibraltar being a part of South West England. Northern Ireland was a single voting area, as well as being a regional count although local totals by Westminster parliamentary constituency area were announced.[3] In Scotland the 32 Scottish councils were used as voting areas and a single national count.[3] In Wales the 22 Welsh Councils were used as the voting areas and a single national count.[3]

Counting began as soon as the polls closed on June 23 from 2200 BST onwards making it the first UK-wide referendum to be counted overnight and took nine hours and twenty minutes to complete.

On 23 June 2016 the United Kingdom voted to leave the European Union, by 51.9% for Leave, and 48.1% for the Remain campaign with 263 voting areas voting to "Leave the European Union" to 119 voting areas who voted to "Remain a member of the European Union".