Alright, let's work through 6279 times 1682 step by step
6279 × 1682 = 1682 × (6279)
+ 1682 × 9 yielding 15138
+ 1682 × 70 that results in 117740
+ 1682 × 200 that results in 336400
+ 1682 × 6000 that is equal 10092000

= 10561278
