25670 ÷ 5 = 5134 R0
Alright, let's work through the division of 25670 by 5 step by step.

Step 1:
5 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 / 5

Step 2:
5 goes into 25 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 25 from 25 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 5

Step 3:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 51
Subtract 5 from 6 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 5

Step 4:
5 goes into 17 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 513
Subtract 15 from 17 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 5

Step 5:
5 goes into 20 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 5134
Subtract 20 from 20 to get 0.

The final result is 5134 with a remainder of 0.