Alright, let's work through 8511 times 5382 step by step
8511 × 5382 = 5382 × (8511)
+ 5382 × 1 giving us 5382
+ 5382 × 10 yielding 53820
+ 5382 × 500 yielding 2691000
+ 5382 × 8000 that equals 43056000

= 45806202
