Alright, let's work through 6343 times 965 step by step
6343 × 965 = 965 × (6343)
+ 965 × 3 giving us 2895
+ 965 × 40 that is equal 38600
+ 965 × 300 giving us 289500
+ 965 × 6000 that is equal 5790000

= 6120995
