The petition on the change.org website broke through the million mark on October 27 three months after being launched by the newspaper The Independent.
"The people, on both sides of the debate are losing faith with the current process. From [UK Prime Minister] Theresa May to Parliament as a whole, a chaotic approach has delivered infighting, resignations and party politics, but little progress on the key issues that people care about," the petition says.
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Brexit is scheduled for March 2019, but London and Brussels still cannot agree on a number of key issues, including the Irish border and the customs arrangements, making a "no-deal" scenario a possibility.
