Alright, let's work through 3366 times 5763 step by step
3366 × 5763 = 5763 × (3366)
+ 5763 × 6 that equals 34578
+ 5763 × 60 that results in 345780
+ 5763 × 300 giving us 1728900
+ 5763 × 3000 giving us 17289000

= 19398258
