Alright, let's work through 2005 times 5838 step by step
2005 × 5838 = 5838 × (2005)
+ 5838 × 5 what gives us 29190
+ 5838 × 00 yielding 0
+ 5838 × 000 that is equal 0
+ 5838 × 2000 resulting in 11676000

= 11705190
