436568 divided by 13 
Let's see how many times 13 fits into 436568.

On to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 13

Advancing to step 2:
43 divided by 13 is 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 39 from 43 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Step 3:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
Subtract 39 from 46 to get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Step 4:
The number 13 fits into 75 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 335.0
Subtracting 65 from 75 leaves us with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 13

Let's proceed to step 5:
When dividing 106 by 13, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 3358.0
Deduct 104 from 106 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 13

On to step 6:
13 goes into 28 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 33582.0
Subtract 26 from 28 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.

Advancing to step 7:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 33582.1
If we subtract 13 from 20, we 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.

Step 8:
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: 33582.15
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 33582.153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 10:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 33582.1538
Subtract 104 from 110 to 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.

On to step 11:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 33582.15384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
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: 33582.153846
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.

Step 13:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 33582.1538461
If we take 13 away from 20, we end up 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.

On to step 14:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 33582.15384615
If we subtract 65 from 70, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 33582.15384615 with a remaining 5e-09.