Alright, let's work through 7349 times 8416 step by step
7349 × 8416 = 8416 × (7349)
+ 8416 × 9 yielding 75744
+ 8416 × 40 that is equal 336640
+ 8416 × 300 that is equal 2524800
+ 8416 × 7000 what gives us 58912000

= 61849184
