Alright, let's work through 6376 times 1103 step by step
6376 × 1103 = 1103 × (6376)
+ 1103 × 6 resulting in 6618
+ 1103 × 70 resulting in 77210
+ 1103 × 300 yielding 330900
+ 1103 × 6000 that is equal 6618000

= 7032728
