We're dividing 535809 by 13 
We're looking to find how many times 13 goes into 535809.

Let's proceed to step 1:
If we divide 5 by 13, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 13

Advancing to step 2:
If we divide 53 by 13, we get 4 and a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 1 after subtracting 52 from 53.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 13

Moving on to step 3:
When dividing 15 by 13, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Deduct 13 from 15 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 13

Let's proceed to step 4:
13 goes into 28 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 412.0
The remainder is 2 after subtracting 26 from 28.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 13

On to step 5:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 4121.0
The remainder is 7 after subtracting 13 from 20.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 13

Step 6:
When dividing 79 by 13, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 41216.0
If we take 78 away from 79, we end up 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 7:
10 divided by 13 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 41216.0
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.

On to step 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 41216.07
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 41216.076
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 10:
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: 41216.0769
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 11:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 41216.07692
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.

Going ahead to step 12:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 41216.076923
Subtract 39 from 40 to 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.

Going ahead to step 13:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 41216.076923
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.

Let's proceed to step 14:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 41216.07692307
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.

In conclusion, the division gives 41216.07692307 with a balance of 9e-09.