Alright, let's work through 5511 times 1103 step by step
5511 × 1103 = 1103 × (5511)
+ 1103 × 1 which equals 1103
+ 1103 × 10 yielding 11030
+ 1103 × 500 that is equal 551500
+ 1103 × 5000 that is equal 5515000

= 6078633
