Goals from Son Heung-min and Christian Eriksen either side of Kane's brace meant Spurs are now level on points with Liverpool in fourth place despite their poor run of form earlier in the season.
Everton didn't have a shot on target all game, but there was still lots to be learnt about both sides...
4. Harry Kane Should Be Regarded as a Premier League Great
Harry Kane has been breaking record after record for Spurs this season. On the weekend of the seven year anniversary of his professional footballing debut while on loan at Leyton Orient, this trend continued.
He became Tottenham's all time Premier League top scorer with his 98th goal for the club leapfrogging Teddy Sheringham - an impressive feat at the ripe age of 24.
He also became only the third player after Alan Shearer and Thierry Henry to score at least 20 goals in four consecutive Premier League seasons.
3. Everton May Have Found a Replacement for Romelu Lukaku
Everton's new £27m striker Cenk Tosun started his first game for the club against Spurs, and although Hugo Lloris didn't have a shot to save all game, Tosun's contribution offered a lot of promise.
His hold up play as a lone striker was nostalgically reminiscent of Romelu Lukaku in a blue shirt and he definitely seems to have the strength and power to replicate the Belgian's presence upfront.
Despite Dominic Calvert-Lewin's emergence and Sandro's best efforts, Everton have lacked a striker to spearhead their attack and may have just found the right man for the job.
2. Spurs Are Still Capable of Tearing Teams Apart
This Spurs side under Mauricio Pochettino have become renowned for their ability to rampantly tear their way through teams and knock up brutal scorelines by never taking their foot off the gas.
A poor run of form earlier in the season made it appear they had lost this skill, but they certainly seem to have found their mojo as they showed no mercy against a poor Everton side.
This was exemplified with Christian Eriksen's goal and Tottenham's fourth, a beautiful team goal that will be one of the best scored all season.
1. Son Heung-min Is One of the Best Wingers in the Premier League
Son Heung-min was on the fringes of the Spurs squad for a while, but has come on leaps and bounds since his move from Bayer Leverkusen in 2015. He has now solidified his place in the Spurs attack and is beginning to consistently state his claim to be regarded as one of the best players in the league.
He put in another magnificent performance against the Toffees, and although Kane will grab all the headlines for his record breaking brace, Son was man of the match and deserves all the plaudits he gets.
If it was based on form, Son would undoubtedly hold the top spot with his fifth goal in as many home games equaling Jermain Defoe's record for Spurs. If he can keep it up until the end of the season, then why can't his name be said in the same category as Eden Hazard and Alexis Sanchez?