Alright, let's work through 5584 times 6113 step by step
5584 × 6113 = 6113 × (5584)
+ 6113 × 4 that is equal 24452
+ 6113 × 80 giving us 489040
+ 6113 × 500 that results in 3056500
+ 6113 × 5000 that equals 30565000

= 34134992
