Alright, let's work through 9674 times 707 step by step
9674 × 707 = 707 × (9674)
+ 707 × 4 that equals 2828
+ 707 × 70 what gives us 49490
+ 707 × 600 what gives us 424200
+ 707 × 9000 giving us 6363000

= 6839518
