Alright, let's work through 5178 times 5606 step by step
5178 × 5606 = 5606 × (5178)
+ 5606 × 8 giving us 44848
+ 5606 × 70 producing 392420
+ 5606 × 100 resulting in 560600
+ 5606 × 5000 that is equal 28030000

= 29027868
