We look at the division of 221718 by 13 
Let's see how many times 13 fits into 221718.

Advancing to step 1:
2 divided by 13 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 13

Step 2:
13 goes into 22 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 13 from 22, we get 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 13

Going ahead to step 3:
13 goes into 91 7 times with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 91 from 91 and we're left with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 13

Going ahead to step 4:
13 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 170.0
If we subtract 0 from 7, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 13

On to step 5:
71 divided by 13 is 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 1705.0
Subtract 65 from 71 to get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 13

Moving on to step 6:
68 divided by 13 is 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 17055.0
Subtracting 65 from 68 leaves us 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.

Moving on to step 7:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 17055.2
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.

Moving on to step 8:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 17055.23
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 9:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 17055.23
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.

Step 10:
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: 17055.2307
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.

Let's proceed to step 11:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 17055.23076
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.

Moving on to step 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 17055.230769
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 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 17055.2307692
Subtracting 26 from 30 leaves us 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.

Let's proceed to step 14:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 17055.23076923
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.

In conclusion, the division gives 17055.23076923 with a balance of 1e-09.