226431 divided by 13 
We're looking to find how many times 13 goes into 226431.

Going ahead to step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 13

Going ahead to step 2:
When dividing 22 by 13, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 13 from 22, we get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 13

Let's proceed to step 3:
13 goes into 96 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 17.0
The remainder is 5 after subtracting 91 from 96.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 13

Moving on to step 4:
The number 13 fits into 54 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 174.0
If we subtract 52 from 54, we get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Advancing to step 5:
If we divide 23 by 13, we get 1 and a remainder of 10.
The next digit of our result is 1. 
Result so far: 1741.0
Deduct 13 from 23 and we're left with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 13

On to step 6:
If we divide 101 by 13, we get 7 and a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 17417.0
Subtract 91 from 101 to 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 7:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 17417.7
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.

Moving on to step 8:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 17417.76
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.

Let's proceed to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 17417.769
Subtract 117 from 120 to 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.

Step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 17417.7692
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.

Going ahead to step 11:
13 goes into 40 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 17417.76923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 17417.76923
Subtracting 0 from 10 leaves us 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 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 17417.7692307
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 14:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 17417.76923076
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.

The final result is 17417.76923076 with a remainder of 1.2e-08.