Alright, let's work through 5196 times 6589 step by step
5196 × 6589 = 6589 × (5196)
+ 6589 × 6 what gives us 39534
+ 6589 × 90 producing 593010
+ 6589 × 100 that equals 658900
+ 6589 × 5000 that is equal 32945000

= 34236444
