Alright, let's work through 5178 times 2672 step by step
5178 × 2672 = 2672 × (5178)
+ 2672 × 8 that results in 21376
+ 2672 × 70 resulting in 187040
+ 2672 × 100 giving us 267200
+ 2672 × 5000 resulting in 13360000

= 13835616
