Alright, let's work through 6314 times 8906 step by step
6314 × 8906 = 8906 × (6314)
+ 8906 × 4 which equals 35624
+ 8906 × 10 which equals 89060
+ 8906 × 300 that results in 2671800
+ 8906 × 6000 that equals 53436000

= 56232484
