Alright, let's work through 8566 times 1142 step by step
8566 × 1142 = 1142 × (8566)
+ 1142 × 6 that is equal 6852
+ 1142 × 60 which equals 68520
+ 1142 × 500 yielding 571000
+ 1142 × 8000 giving us 9136000

= 9782372
