We divide 424265 by 13
We're looking to find how many times 13 goes into 424265.

Step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 13

Advancing to step 2:
42 divided by 13 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 39 from 42 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 13

Going ahead to step 3:
34 divided by 13 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 32.0
The remainder is 8 after subtracting 26 from 34.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 13

Going ahead to step 4:
13 can be fit into 82 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 326.0
Deduct 78 from 82 and we're left with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 13

Let's proceed to step 5:
If we divide 46 by 13, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 3263.0
The remainder is 7 after subtracting 39 from 46.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Step 6:
75 divided by 13 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 32635.0
Subtracting 65 from 75 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.

On to step 7:
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: 32635.7
Deduct 91 from 100 and we're left 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.

Going ahead to step 8:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 32635.76
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.

Advancing to step 9:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 32635.769
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.

On to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 32635.7692
Subtract 26 from 30 to 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.

Step 11:
40 divided by 13 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 32635.76923
Subtracting 39 from 40 leaves us 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 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 32635.76923
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.

On to step 13:
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: 32635.7692307
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.

Let's proceed to step 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 32635.76923076
If we subtract 78 from 90, we get 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 quotient of the division is 32635.76923076, and the remainder is 1.2e-08.