Alright, let's work through 6376 times 9594 step by step
6376 × 9594 = 9594 × (6376)
+ 9594 × 6 producing 57564
+ 9594 × 70 that equals 671580
+ 9594 × 300 which equals 2878200
+ 9594 × 6000 that is equal 57564000

= 61171344
