We're dividing 18301 by 13 
Our goal is to divide 18301 by 13.

Moving on to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 13

Moving on to step 2:
13 can be fit into 18 1 times, resulting in a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 5 after subtracting 13 from 18.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 13

Let's proceed to step 3:
13 can be fit into 53 4 times, resulting in a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 52 away from 53, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 13

Moving on to step 4:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 140.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 13

Moving on to step 5:
13 goes into 101 7 times with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 1407.0
If we subtract 91 from 101, 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.

Let's proceed to step 6:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 1407.7
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.

Advancing to step 7:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 1407.76
Subtracting 78 from 90 leaves us 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.

Let's proceed to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 1407.769
If we take 117 away from 120, we end up 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.

Going ahead to step 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 1407.7692
If we subtract 26 from 30, we 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.

On to step 10:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 1407.76923
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.

Let's proceed to step 11:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 1407.76923
If we take 0 away from 10, we end up with 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 12:
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: 1407.7692307
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.

Step 13:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 1407.76923076
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.

In conclusion, the division gives 1407.76923076 with a balance of 1.2e-08.