25279 ÷ 8 = 3159 R7
Let's divide 25279 by 8.

Step 1:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 8

Step 2:
8 goes into 25 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 24 from 25 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 3:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 31
Subtract 8 from 12 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 8

Step 4:
8 goes into 47 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 315
Subtract 40 from 47 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 8

Step 5:
8 goes into 79 9 times with a remainder of 7.
Write down 9 as next digit of of the result. 
Result so far: 3159
Subtract 72 from 79 to get 7.

The final result is 3159 with a remainder of 7.