Alright, let's work through 1517 times 206 step by step
1517 × 206 = 206 × (1517)
+ 206 × 7 what gives us 1442
+ 206 × 10 that is equal 2060
+ 206 × 500 yielding 103000
+ 206 × 1000 giving us 206000

= 312502
