Alright, let's work through 8633 times 8008 step by step
8633 × 8008 = 8008 × (8633)
+ 8008 × 3 which equals 24024
+ 8008 × 30 resulting in 240240
+ 8008 × 600 that equals 4804800
+ 8008 × 8000 that equals 64064000

= 69133064
