Alright, let's work through 8569 times 6884 step by step
8569 × 6884 = 6884 × (8569)
+ 6884 × 9 which equals 61956
+ 6884 × 60 giving us 413040
+ 6884 × 500 yielding 3442000
+ 6884 × 8000 giving us 55072000

= 58988996
