We're dividing 338425 by 13 
Our goal is to divide 338425 by 13.

Going ahead to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 13

Advancing to step 2:
When dividing 33 by 13, we get 2 with a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 26 away from 33, we end up with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 13

Advancing to step 3:
When dividing 78 by 13, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Deduct 78 from 78 and we're left with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 13

Let's proceed to step 4:
4 divided by 13 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 260.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 13

Let's proceed to step 5:
The number 13 fits into 42 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 2603.0
Subtracting 39 from 42 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 13

Advancing to step 6:
When dividing 35 by 13, we get 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 26032.0
The remainder is 9 after subtracting 26 from 35.
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 7:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 26032.6
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.

Advancing to step 8:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 26032.69
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.

Let's proceed to step 9:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 26032.692
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.

On to step 10:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 26032.6923
If we subtract 39 from 40, we 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 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 26032.6923
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 12:
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: 26032.692307
If we take 91 away from 100, we end up with 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 13:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 26032.6923076
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.

On to step 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 26032.69230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 26032.69230769 with a remainder of 3e-09.