Alright, let's work through 6214 times 7703 step by step
6214 × 7703 = 7703 × (6214)
+ 7703 × 4 giving us 30812
+ 7703 × 10 resulting in 77030
+ 7703 × 200 that is equal 1540600
+ 7703 × 6000 resulting in 46218000

= 47866442
