Alright, let's work through 1503 times 5719 step by step
1503 × 5719 = 5719 × (1503)
+ 5719 × 3 giving us 17157
+ 5719 × 00 yielding 0
+ 5719 × 500 which equals 2859500
+ 5719 × 1000 that is equal 5719000

= 8595657
