436509 divided by 13 
Let's see how many times 13 fits into 436509.

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
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 13

Moving on to step 2:
13 goes into 43 3 times with a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
If we take 39 away from 43, we end up with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 13

Let's proceed to step 3:
The number 13 fits into 46 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
Subtract 39 from 46 to get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 13

Let's proceed to step 4:
13 can be fit into 75 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 335.0
If we take 65 away from 75, we end up with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 13

Step 5:
If we divide 100 by 13, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 3357.0
Subtracting 91 from 100 leaves us with 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 13

Step 6:
13 can be fit into 99 7 times, resulting in a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 33577.0
The remainder is 8 after subtracting 91 from 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 33577.6
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 33577.61
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 33577.615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 33577.6153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 11:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 33577.61538
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.
The number 4 becomes the next digit in our result. 
Result so far: 33577.615384
Subtracting 52 from 60 leaves us 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.

Let's proceed to step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 33577.6153846
Subtract 78 from 80 to get 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 14:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 33577.61538461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Our division results in 33577.61538461 with a remaining 7e-09.