Alright, let's work through 6643 times 417 step by step
6643 × 417 = 417 × (6643)
+ 417 × 3 that results in 1251
+ 417 × 40 that is equal 16680
+ 417 × 600 that equals 250200
+ 417 × 6000 that is equal 2502000

= 2770131
