We divide 442426 by 13
We're looking to find how many times 13 goes into 442426.

On to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 13

Let's proceed to step 2:
44 divided by 13 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 39 from 44 leaves us with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 13

On to step 3:
13 can be fit into 52 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
If we take 52 away from 52, we end up with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 13

Advancing to step 4:
The number 13 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 340.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 13

Advancing to step 5:
42 divided by 13 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 3403.0
If we take 39 away from 42, we end up with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 13

Moving on to step 6:
13 can be fit into 36 2 times, resulting in a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 34032.0
Deduct 26 from 36 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.

Advancing to step 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 34032.7
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.

Going ahead to step 8:
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: 34032.76
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.

Step 9:
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: 34032.769
Subtracting 117 from 120 leaves us 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.

Step 10:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 34032.7692
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.

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: 34032.76923
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.

Let's proceed to step 12:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 34032.76923
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.

Going ahead to step 13:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 34032.7692307
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.

Let's proceed to step 14:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 34032.76923076
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 final outcome is 34032.76923076, with a leftover of 1.2e-08.