We're dividing 634142 by 25 
Our goal is to divide 634142 by 25.

On to step 1:
25 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 25

Advancing to step 2:
The number 25 fits into 63 2 times, leaving a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 50 from 63 to get 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 25

Step 3:
25 goes into 134 5 times with a remainder of 9.
The next digit of our result is 5. 
Result so far: 25.0
Subtracting 125 from 134 leaves us with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 25

Going ahead to step 4:
91 divided by 25 is 3 with a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 253.0
If we take 75 away from 91, we end up with 16.
Include the next digit (4) from the dividend after 16, then repeat: 164 / 25

Advancing to step 5:
25 can be fit into 164 6 times, resulting in a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 2536.0
Subtract 150 from 164 to get 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 25

Let's proceed to step 6:
If we divide 142 by 25, we get 5 and a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 25365.0
If we take 125 away from 142, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
170 divided by 25 is 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 25365.6
If we subtract 150 from 170, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
When dividing 200 by 25, we get 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 25365.68
If we subtract 200 from 200, we 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.

Going ahead to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 25365.68
Subtract 0 from 0 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.

Going ahead to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 25365.68
Subtract 0 from 0 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 25365.68 with a balance of 0.0.