Alright, let's work through 6624 times 5882 step by step
6624 × 5882 = 5882 × (6624)
+ 5882 × 4 which equals 23528
+ 5882 × 20 giving us 117640
+ 5882 × 600 that equals 3529200
+ 5882 × 6000 giving us 35292000

= 38962368
