We look at the division of 218100 by 13 
Our goal is to divide 218100 by 13.

Going ahead to step 1:
2 divided by 13 is 0 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.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 13

Going ahead to step 2:
13 can be fit into 21 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 13 from 21 and we're left with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 13

Let's proceed to step 3:
13 can be fit into 88 6 times, resulting in a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we subtract 78 from 88, we get 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 13

On to step 4:
13 can be fit into 101 7 times, resulting in a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 167.0
Subtract 91 from 101 to get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 13

Advancing to step 5:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 1677.0
The remainder is 9 after subtracting 91 from 100.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 13

Step 6:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 16776.0
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 16776.9
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.

On to step 8:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 16776.92
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 9:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 16776.923
If we take 39 away from 40, 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 10:
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: 16776.923
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 11:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 16776.92307
If we subtract 91 from 100, we 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.

Moving on to step 12:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 16776.923076
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.

Advancing to step 13:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 16776.9230769
If we subtract 117 from 120, we get 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 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 16776.92307692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 16776.92307692 with a balance of 4e-09.