The Prime Minister, who was joined by his wife Samantha, met the Queen at Buckingham Palace and spent almost 25 minutes with the monarch. Polls during the week had predicted a hung parliament but overnight the Conservatives made crucial gains that put them on course for an overall majority in the Commons before the day was over. And while Mr Cameron was at the palace he saw his partys seat tally tick over the all important mark of 326. When he left Downing Street for the meeting the Prime Ministers Jaguar limousine was followed by a broadcasters helicopter as it made its way through the streets of London and along The Mall. Police motorcycle outriders shadowed the vehicle and helped to clear a path through the London traffic. The car drove into the palaces internal courtyard, know as a quadrangle, across an expanse of red gravel before stopping outside the Kings Door. A footman opened the car door for Mrs Cameron while on the other side the Queens equerry Lieutenant Commander Andrew Canale welcomed the Prime Minister when he opened the door. The two men smiled broadly at each other and the Prime Minister waited for his wife to walk around the car and they entered the building hand in hand. It is an entrance Mr Cameron will have used many times during his weekly meetings with the Queen, when the two of them sit alone without advisers and staff for private discussions. The Queen has seen 12 prime ministers head her Government over the decades, from her first, Sir Winston Churchill, to Mr Cameron. After arriving just after 12.30pm the Camerons left a few minutes before 1pm and were again followed by a broadcasters helicopter which stayed overhead until they reached Downing Street.