55436 ÷ 8 = 6929 R4
Alright, let's work through the division of 55436 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 (4) of the dividend behind the 7 and repeat the process: 74 / 8

Step 3:
8 goes into 74 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 69
Subtract 72 from 74 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 8

Step 4:
8 goes into 23 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 692
Subtract 16 from 23 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 8

Step 5:
8 goes into 76 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 6929
Subtract 72 from 76 to get 4.

The final result is 6929 with a remainder of 4.