We're dividing 13141 by 25 
Our goal is to divide 13141 by 25.

On to step 1:
25 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 25

Advancing to step 2:
The number 25 fits into 13 0 times, leaving a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 25

Step 3:
25 goes into 131 5 times with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 6 after subtracting 125 from 131.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 25

On to step 4:
When dividing 64 by 25, we get 2 with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 52.0
Deduct 50 from 64 and we're left with 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 25

Let's proceed to step 5:
25 goes into 141 5 times with a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 525.0
If we subtract 125 from 141, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 6:
When dividing 160 by 25, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 525.6
Subtract 150 from 160 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.

On to step 7:
When dividing 100 by 25, we get 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 525.64
The remainder is 0 after subtracting 100 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 525.64
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 525.64
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 525.64 with a remainder of 0.0.