Alright, let's work through 8966 times 532 step by step
8966 × 532 = 532 × (8966)
+ 532 × 6 resulting in 3192
+ 532 × 60 that is equal 31920
+ 532 × 900 yielding 478800
+ 532 × 8000 what gives us 4256000

= 4769912
