Alright, let's work through 6581 times 5506 step by step
6581 × 5506 = 5506 × (6581)
+ 5506 × 1 that is equal 5506
+ 5506 × 80 which equals 440480
+ 5506 × 500 which equals 2753000
+ 5506 × 6000 that results in 33036000

= 36234986
