Alright, let's work through 7888 times 1058 step by step
7888 × 1058 = 1058 × (7888)
+ 1058 × 8 yielding 8464
+ 1058 × 80 producing 84640
+ 1058 × 800 that is equal 846400
+ 1058 × 7000 giving us 7406000

= 8345504
