Alright, let's work through 5338 times 6416 step by step
5338 × 6416 = 6416 × (5338)
+ 6416 × 8 yielding 51328
+ 6416 × 30 resulting in 192480
+ 6416 × 300 which equals 1924800
+ 6416 × 5000 producing 32080000

= 34248608
