53614 ÷ 8 = 6701 R6
Alright, let's work through the division of 53614 by 8 step by step.

Step 1:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 8

Step 2:
8 goes into 53 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 48 from 53 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 8

Step 3:
8 goes into 56 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 67
Subtract 56 from 56 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 8

Step 4:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 670
Subtract 0 from 1 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 8

Step 5:
8 goes into 14 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 6701
Subtract 8 from 14 to get 6.

The final result is 6701 with a remainder of 6.