Alright, let's work through 6301 times 7588 step by step
6301 × 7588 = 7588 × (6301)
+ 7588 × 1 giving us 7588
+ 7588 × 00 producing 0
+ 7588 × 300 what gives us 2276400
+ 7588 × 6000 giving us 45528000

= 47811988
