Hurrah for Britain. You've demonstrated some important principles: 1. That self-determination is an essential ingredient of freedom, 2. that freedom means nothing if there is no opt-out option, 3. that a well-managed referendum is an essential ingredient of the democratic process.
That said, there can be no pretense that the United Kingdom is united. Politicians in London are clearly out of touch with what the rest of England wants. Scotland and NI clearly want something different to what London and Wales want. Fragmentation runs deep, EU or no EU, and that is a major challenge for Cameron's successor government.
The reality is that Britain will have to continue to take account of EU regulations anyway, whenever Britons travel abroad, or export or import anything, even if Britain no longer implements EU regulations domestically. At least Britain had a vote in the EU Parliament; they won't have even that much longer.