Alright, let's work through 5180 times 1349 step by step
5180 × 1349 = 1349 × (5180)
+ 1349 × 0 giving us 0
+ 1349 × 80 what gives us 107920
+ 1349 × 100 resulting in 134900
+ 1349 × 5000 giving us 6745000

= 6987820
