19414 ÷ 8 = 2426 R6
Alright, let's work through the division of 19414 by 8 step by step.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 8

Step 2:
8 goes into 19 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 16 from 19 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 8

Step 3:
8 goes into 34 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 24
Subtract 32 from 34 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 8

Step 4:
8 goes into 21 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 242
Subtract 16 from 21 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 8

Step 5:
8 goes into 54 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 2426
Subtract 48 from 54 to get 6.

The final result is 2426 with a remainder of 6.