Alright, let's work through 5314 times 2002 step by step
5314 × 2002 = 2002 × (5314)
+ 2002 × 4 that equals 8008
+ 2002 × 10 that equals 20020
+ 2002 × 300 giving us 600600
+ 2002 × 5000 producing 10010000

= 10638628
