Alright, let's work through 7771 times 8588 step by step
7771 × 8588 = 8588 × (7771)
+ 8588 × 1 that results in 8588
+ 8588 × 70 that results in 601160
+ 8588 × 700 yielding 6011600
+ 8588 × 7000 that equals 60116000

= 66737348
