51809 ÷ 8 = 6476 R1
Alright, let's work through the division of 51809 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 (8) of the dividend behind the 3 and repeat the process: 38 / 8

Step 3:
8 goes into 38 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 64
Subtract 32 from 38 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 8

Step 4:
8 goes into 60 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 647
Subtract 56 from 60 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 8

Step 5:
8 goes into 49 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6476
Subtract 48 from 49 to get 1.

The final result is 6476 with a remainder of 1.