Alright, let's work through 5311 times 501 step by step
5311 × 501 = 501 × (5311)
+ 501 × 1 which equals 501
+ 501 × 10 which equals 5010
+ 501 × 300 which equals 150300
+ 501 × 5000 giving us 2505000

= 2660811
