Alright, let's work through 9874 times 8678 step by step
9874 × 8678 = 8678 × (9874)
+ 8678 × 4 producing 34712
+ 8678 × 70 giving us 607460
+ 8678 × 800 producing 6942400
+ 8678 × 9000 resulting in 78102000

= 85686572
