We're dividing 342636 by 25 
We're looking to find how many times 25 goes into 342636.

On to step 1:
25 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 25

Moving on to step 2:
25 goes into 34 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 25 from 34 leaves us with 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 25

Moving on to step 3:
25 goes into 92 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 13.0
If we take 75 away from 92, we end up with 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 25

Let's proceed to step 4:
25 goes into 176 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 137.0
Subtracting 175 from 176 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 25

Step 5:
The number 25 fits into 13 0 times, leaving a remainder of 13.
The next digit of our result is 0. 
Result so far: 1370.0
Subtracting 0 from 13 leaves us with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 25

Moving on to step 6:
136 divided by 25 is 5 with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 13705.0
Subtract 125 from 136 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
25 goes into 110 4 times with a remainder of 10.
The next digit of our result is 4. 
Result so far: 13705.4
Subtract 100 from 110 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
25 can be fit into 100 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 13705.44
Subtract 100 from 100 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 13705.44 with a balance of 0.0.