Alright, let's work through 5387 times 1753 step by step
5387 × 1753 = 1753 × (5387)
+ 1753 × 7 resulting in 12271
+ 1753 × 80 which equals 140240
+ 1753 × 300 which equals 525900
+ 1753 × 5000 that is equal 8765000

= 9443411
