442623 divided by 13 
Let's see how many times 13 fits into 442623.

Moving on to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 13

Advancing to step 2:
The number 13 fits into 44 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 39 away from 44, we end up with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 13

Advancing to step 3:
When dividing 52 by 13, we get 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
If we take 52 away from 52, we end up with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 13

Moving on to step 4:
When dividing 6 by 13, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 340.0
If we take 0 away from 6, we end up with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 13

Going ahead to step 5:
If we divide 62 by 13, we get 4 and a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 3404.0
Subtract 52 from 62 to get 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 13

Going ahead to step 6:
If we divide 103 by 13, we get 7 and a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 34047.0
If we take 91 away from 103, we end up 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 7:
If we divide 120 by 13, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 34047.9
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 34047.92
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.

Going ahead to step 9:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 34047.923
The remainder is 1 after subtracting 39 from 40.
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 10:
10 divided by 13 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 34047.923
Subtracting 0 from 10 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.

Let's proceed to step 11:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 34047.92307
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 12:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 34047.923076
Subtract 78 from 90 to 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.

Let's proceed to step 13:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 34047.9230769
Deduct 117 from 120 and we're left 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 14:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 34047.92307692
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.

The final result is 34047.92307692 with a remainder of 4e-09.