Alright, let's work through 6137 times 2205 step by step
6137 × 2205 = 2205 × (6137)
+ 2205 × 7 yielding 15435
+ 2205 × 30 yielding 66150
+ 2205 × 100 giving us 220500
+ 2205 × 6000 giving us 13230000

= 13532085
