Alright, let's work through 8519 times 4588 step by step
8519 × 4588 = 4588 × (8519)
+ 4588 × 9 yielding 41292
+ 4588 × 10 giving us 45880
+ 4588 × 500 that equals 2294000
+ 4588 × 8000 producing 36704000

= 39085172
