Alright, let's work through 5586 times 6414 step by step
5586 × 6414 = 6414 × (5586)
+ 6414 × 6 producing 38484
+ 6414 × 80 that is equal 513120
+ 6414 × 500 that equals 3207000
+ 6414 × 5000 yielding 32070000

= 35828604
