Alright, let's work through 8177 times 1001 step by step
8177 × 1001 = 1001 × (8177)
+ 1001 × 7 that equals 7007
+ 1001 × 70 producing 70070
+ 1001 × 100 producing 100100
+ 1001 × 8000 resulting in 8008000

= 8185177
