Although the scoreline looked emphatic, the six-time Aussie Open champion needed more than two hours and 20 minutes to grind the No. 21 seed down.
He said: "It was a straight sets win but nearly two and a half hours, it wasn't that easy, I had to earn all of my points".
"I play him like two years in Rod Laver".
Sixth seed Karolina Pliskova won one all-Czech battle against Lucie Safarova and faces another one against Barbora Strycova while eighth seed Caroline Garcia will take on US Open finalist Madison Keys. "It was already wrapped (foot), but very quickly I started to feel a blister was coming, and I'd rather prevent it".
Les femmes marcheront dans la foulée du mouvement #MoiAussi
Les organisatrices de la " Women's March " - qui prévoyaient ce week-end des manifestations dans des centaines de villes américaines et européennes - ont placé la marche sous le mot d'ordre "Le pouvoir est dans les urnes", espérant convertir toutes les frustrations en mobilisation électorale.
Still, he added: "It's a huge deal for me, and something that if I don't ever get another accomplishment, I can at least hang my hat on this one".
"I had a more tougher match under the heat in previous years at the Australian Open, but today was " it was hot, but I don't think was the hottest day".
Federer, 36, comfortably extended his record over Gasquet to 17-2, with the Frenchman only ever having beaten the 19-time Grand Slam champion on clay.
"She happens to be the next one that I have to play". I'm around 50 in the world at this point, so I know I'm going to be facing seeded players first, second, third round. She was unbeaten in singles at the Hopman Cup, the champion in Sydney and, in Melbourne, has surrendered only nine games in two rounds against Anna-Lena Friedsam and Donna Vekic.
Djokovic began to move a little freer as the match wore on and he was able to secure a fourth-round clash with rising star Hyeon Chung with a fifth break of the match courtesy of a Ramos-Vinolas double fault.
EPL: Martial secures crucial win for Manchester United
The role of Nemanja Matic will again be key, with the Serb tasked with keeping the risky duo of Defour and Gudmundsson quiet. Exactly 22 years ago, United were 12 points behind leaders Newcastle with 23 games played but they still won the title.
"I'm really pleased with where my game is at at the moment".
"Protecting our players and the fairness of the competition is paramount in these conditions, which we acknowledge can be challenging", he said.
"He (Chung) is playing great".
Fans can expect an entertaining encounter as the two of the game's most graceful competitors bring their artistry to the court.
He's very nice guy. While Federer had made at least the third round each year since his Melbourne Park debut in 2000, Struff had failed to go further than the second round at any Grand Slam.
Macron, May differ on UK's Brexit trade deal
And you should understand that you can not , by definition, have the full access to the single market if you don't tick the box. Speaking to Marr, he warned that the United Kingdom could not "cherry-pick" the elements it wanted.