Alright, let's work through 6204 times 5703 step by step
6204 × 5703 = 5703 × (6204)
+ 5703 × 4 yielding 22812
+ 5703 × 00 producing 0
+ 5703 × 200 that is equal 1140600
+ 5703 × 6000 which equals 34218000

= 35381412
