Alright, let's work through 6597 times 5174 step by step
6597 × 5174 = 5174 × (6597)
+ 5174 × 7 resulting in 36218
+ 5174 × 90 which equals 465660
+ 5174 × 500 which equals 2587000
+ 5174 × 6000 that equals 31044000

= 34132878
