Arsenal snuffed out any chance of a famous Real Madrid comeback to reach the Champions League semi-finals after a 2-1 victory in the Bernabeu Stadium completed a 5-1 aggregate win on Wednesday.
Holders and 15-times winners Real never looked like clawing back a 3-0 deficit from last week's quarter-final first leg and when Bukayo Saka scored for the visitors in the 65th minute their fate was effectively sealed.
Vinicius Junior seized on a rare defensive slip a couple of minutes later to rouse the home crowd, but it proved too little too late as Carlo Ancelotti's side exited in feeble fashion.
Arsenal's superiority over the two legs was underlined in stoppage time as Gabriel Martinelli burst through to score.
They will face Paris St Germain in their first Champions League semi-final since 2009.
"I think it's such a special night for this club, it's a historic night for this club," said Arsenal's Declan Rice, whose two sublime free kicks last week put his side in control.