53814 ÷ 8 = 6726 R6
Alright, let's work through the division of 53814 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 (8) of the dividend behind the 5 and repeat the process: 58 / 8

Step 3:
8 goes into 58 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 67
Subtract 56 from 58 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: 672
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: 6726
Subtract 48 from 54 to get 6.

The final result is 6726 with a remainder of 6.