Alright, let's work through 5363 times 684 step by step
5363 × 684 = 684 × (5363)
+ 684 × 3 what gives us 2052
+ 684 × 60 resulting in 41040
+ 684 × 300 what gives us 205200
+ 684 × 5000 that equals 3420000

= 3668292
