Alright, let's work through 9710 times 511 step by step
9710 × 511 = 511 × (9710)
+ 511 × 0 resulting in 0
+ 511 × 10 what gives us 5110
+ 511 × 700 yielding 357700
+ 511 × 9000 which equals 4599000

= 4961810
