Alright, let's work through 1177 times 5524 step by step
1177 × 5524 = 5524 × (1177)
+ 5524 × 7 resulting in 38668
+ 5524 × 70 yielding 386680
+ 5524 × 100 that results in 552400
+ 5524 × 1000 that results in 5524000

= 6501748
