We're dividing 205041 by 13 
Our goal is to divide 205041 by 13.

Let's proceed to step 1:
13 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 13

Going ahead to step 2:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 13 away from 20, we end up with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Advancing to step 3:
The number 13 fits into 75 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 10 after subtracting 65 from 75.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 13

Let's proceed to step 4:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.0
Subtract 91 from 100 to get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 13

Step 5:
13 goes into 94 7 times with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 1577.0
If we take 91 away from 94, we end up with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 13

Step 6:
When dividing 31 by 13, we get 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 15772.0
The remainder is 5 after subtracting 26 from 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 15772.3
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 15772.38
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 15772.384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 15772.3846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
13 goes into 20 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 15772.38461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 12:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 15772.384615
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 13:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 15772.3846153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 14:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 15772.38461538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 15772.38461538 with a remaining 6e-09.