Alright, let's work through 6386 times 1101 step by step
6386 × 1101 = 1101 × (6386)
+ 1101 × 6 giving us 6606
+ 1101 × 80 what gives us 88080
+ 1101 × 300 that equals 330300
+ 1101 × 6000 that results in 6606000

= 7030986
