We look at the division of 225935 by 13 
Our goal is to divide 225935 by 13.

Step 1:
13 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
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

Let's proceed to step 2:
22 divided by 13 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 13 from 22 and we're left with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 13

Let's proceed to step 3:
13 goes into 95 7 times with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we take 91 away from 95, we end up with 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 13

Let's proceed to step 4:
If we divide 49 by 13, we get 3 and a remainder of 10.
The next digit of our result is 3. 
Result so far: 173.0
Deduct 39 from 49 and we're left with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 13

Let's proceed to step 5:
When dividing 103 by 13, we get 7 with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 1737.0
Subtracting 91 from 103 leaves us with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 13

Let's proceed to step 6:
13 goes into 125 9 times with a remainder of 8.
The next digit of our result is 9. 
Result so far: 17379.0
If we take 117 away from 125, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 17379.6
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 17379.61
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 9:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 17379.615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 17379.6153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 11:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 17379.61538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 17379.615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 17379.6153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 17379.61538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 17379.61538461 with a remainder of 7e-09.