Alright, let's work through 6102 times 5886 step by step
6102 × 5886 = 5886 × (6102)
+ 5886 × 2 that is equal 11772
+ 5886 × 00 producing 0
+ 5886 × 100 which equals 588600
+ 5886 × 6000 which equals 35316000

= 35916372
