51110 ÷ 8 = 6388 R6
Alright, let's work through the division of 51110 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 (1) of the dividend behind the 5 and repeat the process: 51 / 8

Step 2:
8 goes into 51 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 48 from 51 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Step 3:
8 goes into 31 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 63
Subtract 24 from 31 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 8

Step 4:
8 goes into 71 8 times with a remainder of 7.
Write down 8 as next digit of of the result. 
Result so far: 638
Subtract 64 from 71 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 5:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 6388
Subtract 64 from 70 to get 6.

The final result is 6388 with a remainder of 6.