We're dividing 230184 by 13 
Our goal is to divide 230184 by 13.

Moving on to step 1:
13 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 13

Going ahead to step 2:
The number 13 fits into 23 1 times, leaving a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 10 after subtracting 13 from 23.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 13

Moving on to step 3:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtract 91 from 100 to get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 13

Step 4:
91 divided by 13 is 7 with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 177.0
If we take 91 away from 91, we end up with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 13

Step 5:
When dividing 8 by 13, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 1770.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 13

Moving on to step 6:
If we divide 84 by 13, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 17706.0
Subtract 78 from 84 to get 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 7:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 17706.4
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 17706.46
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
When dividing 20 by 13, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 17706.461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 17706.4615
Deduct 65 from 70 and we're left 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.

Step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 17706.46153
If we take 39 away from 50, we end up 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 12:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 17706.461538
If we subtract 104 from 110, we get 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 13:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 17706.4615384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 17706.46153846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 17706.46153846 with a balance of 2e-09.