Alright, let's work through 5419 times 2419 step by step
5419 × 2419 = 2419 × (5419)
+ 2419 × 9 that equals 21771
+ 2419 × 10 that is equal 24190
+ 2419 × 400 what gives us 967600
+ 2419 × 5000 producing 12095000

= 13108561
