Alright, let's work through 6166 times 1880 step by step
6166 × 1880 = 1880 × (6166)
+ 1880 × 6 giving us 11280
+ 1880 × 60 producing 112800
+ 1880 × 100 that results in 188000
+ 1880 × 6000 that is equal 11280000

= 11592080
