Alright, let's work through 1003 times 782 step by step
1003 × 782 = 782 × (1003)
+ 782 × 3 that results in 2346
+ 782 × 00 giving us 0
+ 782 × 000 that results in 0
+ 782 × 1000 that equals 782000

= 784346
