Alright, let's work through 8188 times 338 step by step
8188 × 338 = 338 × (8188)
+ 338 × 8 resulting in 2704
+ 338 × 80 that is equal 27040
+ 338 × 100 which equals 33800
+ 338 × 8000 that is equal 2704000

= 2767544
