We look at the division of 225346 by 13 
We're looking to find how many times 13 goes into 225346.

Advancing to step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 13

On to step 2:
When dividing 22 by 13, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 13 from 22 leaves us with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

Going ahead to step 3:
When dividing 95 by 13, we get 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 17.0
The remainder is 4 after subtracting 91 from 95.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 13

Let's proceed to step 4:
43 divided by 13 is 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 173.0
Subtracting 39 from 43 leaves us with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 13

On to step 5:
13 can be fit into 44 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 1733.0
If we subtract 39 from 44, we get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 13

On to step 6:
13 can be fit into 56 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 17334.0
If we take 52 away from 56, we end up 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.

On to step 7:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 17334.3
Deduct 39 from 40 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.

On to step 8:
10 divided by 13 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 17334.3
Deduct 0 from 10 and we're left 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.

Going ahead to step 9:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 17334.307
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.

Advancing to step 10:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 17334.3076
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.

Going ahead to step 11:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 17334.30769
If we take 117 away from 120, we end up 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 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 17334.307692
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 13:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 17334.3076923
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.

On to step 14:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 17334.3076923
Subtract 0 from 10 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.

After the division, we end up with 17334.3076923 and a remainder of 1e-08.