How will the EU interpret the Brexit vote?

How is the EU going to interpret the British vote to withdraw from the EU? As Tim Oliver explains, the remaining members of the EU now face three challenges: finding a unified initial response, finding a reliable UK government to begin negotiations with, and reflecting on what it means for current ideas of European integration and unity.
http://blogs.lse.ac.uk/brexitvote/2016/06/24/how-will-the-eu-interpret-the-brexit-vote/