Alright, let's work through 5565 times 564 step by step
5565 × 564 = 564 × (5565)
+ 564 × 5 giving us 2820
+ 564 × 60 giving us 33840
+ 564 × 500 which equals 282000
+ 564 × 5000 that equals 2820000

= 3138660
