Alright, let's work through 7769 times 901 step by step
7769 × 901 = 901 × (7769)
+ 901 × 9 that results in 8109
+ 901 × 60 giving us 54060
+ 901 × 700 what gives us 630700
+ 901 × 7000 resulting in 6307000

= 6999869
