Alright, let's work through 6316 times 1186 step by step
6316 × 1186 = 1186 × (6316)
+ 1186 × 6 producing 7116
+ 1186 × 10 which equals 11860
+ 1186 × 300 yielding 355800
+ 1186 × 6000 that results in 7116000

= 7490776
