Alright, let's work through 8745 times 6338 step by step
8745 × 6338 = 6338 × (8745)
+ 6338 × 5 yielding 31690
+ 6338 × 40 which equals 253520
+ 6338 × 700 which equals 4436600
+ 6338 × 8000 that equals 50704000

= 55425810
