Alright, let's work through 8666 times 882 step by step
8666 × 882 = 882 × (8666)
+ 882 × 6 yielding 5292
+ 882 × 60 what gives us 52920
+ 882 × 600 which equals 529200
+ 882 × 8000 yielding 7056000

= 7643412
