Alright, let's work through 6590 times 4660 step by step
6590 × 4660 = 4660 × (6590)
+ 4660 × 0 which equals 0
+ 4660 × 90 producing 419400
+ 4660 × 500 giving us 2330000
+ 4660 × 6000 which equals 27960000

= 30709400
