Alright, let's work through 5584 times 7927 step by step
5584 × 7927 = 7927 × (5584)
+ 7927 × 4 that results in 31708
+ 7927 × 80 producing 634160
+ 7927 × 500 giving us 3963500
+ 7927 × 5000 producing 39635000

= 44264368
