Superstar Kylian Mbappe scored a hat-trick, reaching 60 Champions League goals in the process, as Los Blancos cruised to a comfortable victory on a chilly night at Almaty Central Stadium.
The Frenchman's first goal came from the penalty spot. Kairat goalkeeper Sherkhan Kalmurza came flying out of his area and took out Franco Mastantuono in the 25th minute, leaving the referee little choice but to award a penalty.
While the teams went down the tunnel with Real Madrid 1-0 ahead, the Spanish giants had controlled proceedings with aplomb.
Mbappe got the better of Kalmurza in the 52nd minute, controlling a deep ball from Thibaut Courtois and dinking it over the hapless gloveman. He then completed his treble after a great run from Rodrygo and Arda Guler set him on the edge of the box, which he finished with a powerful shot.
Rodrygo was again involved in setting up the fourth goal, resulting in Eduardo Camavinga heading home from close range.
In injury time, a pass from Gonzalo Garcia set up Brahim Diaz, who made no mistake with a tight cross shot to the bottom corner.
The result will go some way to eclipsing the 5-2 humbling Xabi Alonso's men received at the hands of Atletico Madrid in La Liga on Saturday.
Bayern Munich boss Vincent Kompany has urged his side afford to avoid being casual in the Champions League second leg Round of 16 clash against Atalanta despite 6-1 lead.
Alvaro Arbeloa hailed his Real Madrid side's discipline and resilience after they once again knocked Manchester City out of the Champions League at the Etihad Stadium.
Manchester City's Champions League campaign ended in familiar frustration as Real Madrid eliminated them for a third consecutive season, sealing progression from the last-16 tie at the Etihad Stadium.
Bayer Leverkusen midfielder Exequiel Palacios says he is ready for the "all or nothing" test against Arsenal in Tuesday's Champions League return leg in London.
