Alright, let's work through 5221 times 6776 step by step
5221 × 6776 = 6776 × (5221)
+ 6776 × 1 giving us 6776
+ 6776 × 20 producing 135520
+ 6776 × 200 yielding 1355200
+ 6776 × 5000 resulting in 33880000

= 35377496
