Alright, let's work through 6908 times 636 step by step
6908 × 636 = 636 × (6908)
+ 636 × 8 yielding 5088
+ 636 × 00 resulting in 0
+ 636 × 900 that equals 572400
+ 636 × 6000 that equals 3816000

= 4393488
