"I don't think it's something anybody aims for, to win every match in straight sets".
The 52nd-ranked Giorgi of Italy took the first set 6-3.
He came through that test to serve out the match to love to complete the win in one hour and 45 minutes.
As it stands, the 17-time Grand Slam champion is now on 8,950 points while Federer, who has to win a ninth Wimbledon title to retain the full 2,000 points, is now on 8,720. Isner, 33, will be playing in his first quarterfinal at the majors since the 2011 U.S. Open when he faces former Wimbledon finalist Milos Raonic.
He eventually finished off the world No.53 in the third tiebreak to move into his second Wimbledon quarter-final where twice champion Nadal is waiting.
Kerber was the runner-up at the All England Club in 2016, while 14th-seeded Kasatkina is in the last eight for the first time.
On the other side of the draw, Nadal has had a stroll as easy as Federer's and should have too much left for Juan Martín Del Potro, who needed a third tie-break to see off Gilles Simon in their held-over match on Tuesday. "It is part of what a tennis match is about".
"At the same time, I have been in that position a couple of times in my career".
Victory helped Del Potro advance to the last eight at the All England Club for the first time since 2013 and it is the first time since in 2012 that he has qualified for the last eight at consecutive Grand Slams. Also Simona Halep's conqueror, Su-Wei Hsieh, was defeated 6-4 6-1 by Dominika Cibulkova.
Del Potro, who made more than 20 unforced errors in the set, made hard work of winning the tiebreak, clinching it 7-5 on the seventh set point when Simon put a return high and wide and the Argentine roared in celebration. The Spaniard is hoping his old rival, and eight-time champion, gets knocked out before that.
Williams is looking for her eighth Wimbledon title and has established herself as the big favorite once again, with the top-10 seeds all eliminated.
Williams is seeking to reclaim the title having been unable to defend her 2016 triumph due to her pregnancy.
It was very dark when they finished.
The 11-time French Open champion beat Jiri Vesely 6-3, 6-3, 6-4 on Centre Court on Monday and has yet to drop a set in this tournament. The world number 40 was unable to mount a response this time and evidence fortune was in the Serbian's favour came on his second of two set points when a Khachanov slip enabled him to take a 2-0 lead in the match.