55059 ÷ 8 = 6882 R3
Let's divide 55059 by 8.

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 (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 3:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 68
Subtract 64 from 70 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 8

Step 4:
8 goes into 65 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 688
Subtract 64 from 65 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 8

Step 5:
8 goes into 19 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 6882
Subtract 16 from 19 to get 3.

The final result is 6882 with a remainder of 3.