Let's divide 180181 by 13
Our goal is to divide 180181 by 13.

Step 1:
If we divide 1 by 13, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 13

Going ahead to step 2:
The number 13 fits into 18 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 5 after subtracting 13 from 18.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 13

Advancing to step 3:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 39 from 50 and we're left with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 13

On to step 4:
13 can be fit into 111 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 138.0
Deduct 104 from 111 and we're left with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 13

Moving on to step 5:
78 divided by 13 is 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 1386.0
If we take 78 away from 78, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 13

Moving on to step 6:
If we divide 1 by 13, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 13860.0
If we take 0 away from 1, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 13860.0
If we subtract 0 from 10, we 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:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 13860.07
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 13860.076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 13860.0769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 13860.07692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 13860.076923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 13:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 13860.076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 13860.07692307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 13860.07692307 and a remainder of 9e-09.