Alright, let's work through 5288 times 1313 step by step
5288 × 1313 = 1313 × (5288)
+ 1313 × 8 that equals 10504
+ 1313 × 80 that results in 105040
+ 1313 × 200 resulting in 262600
+ 1313 × 5000 yielding 6565000

= 6943144
