Alright, let's work through 6071 times 1006 step by step
6071 × 1006 = 1006 × (6071)
+ 1006 × 1 which equals 1006
+ 1006 × 70 what gives us 70420
+ 1006 × 000 what gives us 0
+ 1006 × 6000 that results in 6036000

= 6107426
