22231 ÷ 13 
Our goal is to divide 22231 by 13.

Advancing to step 1:
If we divide 2 by 13, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 13

On to step 2:
The number 13 fits into 22 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 9 after subtracting 13 from 22.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 13

On to step 3:
13 goes into 92 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtracting 91 from 92 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 13

On to step 4:
The number 13 fits into 13 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 171.0
Deduct 13 from 13 and we're left with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 13

Moving on to step 5:
13 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 1710.0
Deduct 0 from 1 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.

Advancing to step 6:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 1710.0
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.

Advancing to step 7:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 1710.07
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.

On to step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 1710.076
If we take 78 away from 90, we end up 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 9:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 1710.0769
Subtracting 117 from 120 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.

On to step 10:
When dividing 30 by 13, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 1710.07692
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.

Let's proceed to step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 1710.076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1710.076923
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.

Let's proceed to step 13:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 1710.07692307
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.

After the division, we end up with 1710.07692307 and a remainder of 9e-09.