The encounter lasted just 88 minutes and Goffin did very little wrong, but the Swiss legend was simply magnificent.
SI Tennis confirmed the crushing victory:
Federer looked irresistible from the off and claimed the first of many breaks in the fourth game of the match to take a 3-1 lead.
He was taking the ball so early when returning serve that Goffin was pinned back and simply could not get into the match.
Another break at 5-2 up secured the world No. 3 the first set in 21 minutes. As noted by BBC 5 Live's David Law, Federer was playing some of his best tennis ever:
There was no let up in the second set for Goffin as Federer sealed an early break once again, moving 3-1 ahead with a brilliant forehand into the corner.
Goffin had no chance to break back as Federer's serve was scarily accurate and the Belgian was broken again for 5-1 as the 34-year-old threw up an immaculate lob.
The 17-time grand slam winner duly sealed the second set with ease having lost just three points on his own serve, per the Australian Open.
He then broke again for 1-0 in the third after another fantastic forehand down the line. Federer having picked up another break for 4-1 it looked as though Goffin may not win another game, but the 15th seed went down fighting as he claimed a break back.
There was to be no miraculous turnaround, though, and Federer served out the third set to move serenely into the last eight.
Unsurprisingly, Federer was delighted with his performance and he acknowledged the challenge he now faces against Berdych in the quarter-finals, per the Australian Open:
Berdych came through a tough five-setter against Roberto Bautista Agut in his fourth-round match, and will need to up his game significantly if he is to handle Federer in this kind of form.