Alright, let's work through 3354 times 2871 step by step
3354 × 2871 = 2871 × (3354)
+ 2871 × 4 resulting in 11484
+ 2871 × 50 producing 143550
+ 2871 × 300 resulting in 861300
+ 2871 × 3000 resulting in 8613000

= 9629334
