We look at the division of 802433 by 13 
We're looking to find how many times 13 goes into 802433.

Going ahead to step 1:
13 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 13

Moving on to step 2:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 78 from 80 leaves us with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 13

Going ahead to step 3:
When dividing 22 by 13, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
The remainder is 9 after subtracting 13 from 22.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 13

Let's proceed to step 4:
If we divide 94 by 13, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 617.0
If we subtract 91 from 94, we get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 13

On to step 5:
If we divide 33 by 13, we get 2 and a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 6172.0
Subtract 26 from 33 to get 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 13

Advancing to step 6:
13 goes into 73 5 times with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 61725.0
If we take 65 away from 73, 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:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 61725.6
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 61725.61
The remainder is 7 after subtracting 13 from 20.
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:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 61725.615
If we take 65 away from 70, we end up with 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: 61725.6153
Subtracting 39 from 50 leaves us with 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:
If we divide 110 by 13, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 61725.61538
If we subtract 104 from 110, we 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:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 61725.615384
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.

Step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 61725.6153846
Deduct 78 from 80 and we're left with 2.
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:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 61725.61538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 61725.61538461 with a balance of 7e-09.