55266 ÷ 8 = 6908 R2
Let's divide 55266 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 (2) of the dividend behind the 7 and repeat the process: 72 / 8

Step 3:
8 goes into 72 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 69
Subtract 72 from 72 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 8

Step 4:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 690
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 8

Step 5:
8 goes into 66 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 6908
Subtract 64 from 66 to get 2.

The final result is 6908 with a remainder of 2.