Alright, let's work through 5329 times 1889 step by step
5329 × 1889 = 1889 × (5329)
+ 1889 × 9 producing 17001
+ 1889 × 20 producing 37780
+ 1889 × 300 yielding 566700
+ 1889 × 5000 which equals 9445000

= 10066481
