Alright, let's work through 1001 times 6107 step by step
1001 × 6107 = 6107 × (1001)
+ 6107 × 1 that equals 6107
+ 6107 × 00 producing 0
+ 6107 × 000 producing 0
+ 6107 × 1000 that results in 6107000

= 6113107
