Alright, let's work through 6303 times 4596 step by step
6303 × 4596 = 4596 × (6303)
+ 4596 × 3 yielding 13788
+ 4596 × 00 that equals 0
+ 4596 × 300 that is equal 1378800
+ 4596 × 6000 that equals 27576000

= 28968588
