Alright, let's work through 8903 times 6763 step by step
8903 × 6763 = 6763 × (8903)
+ 6763 × 3 what gives us 20289
+ 6763 × 00 giving us 0
+ 6763 × 900 giving us 6086700
+ 6763 × 8000 producing 54104000

= 60210989
