55807 ÷ 8 = 6975 R7
Alright, let's work through the division of 55807 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 (5) of the dividend behind the 5 and repeat the process: 55 / 8

Step 2:
8 goes into 55 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 48 from 55 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 8

Step 3:
8 goes into 78 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 69
Subtract 72 from 78 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: 697
Subtract 56 from 60 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 8

Step 5:
8 goes into 47 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 6975
Subtract 40 from 47 to get 7.

The final result is 6975 with a remainder of 7.