We look at the division of 499664 by 13 
We're looking to find how many times 13 goes into 499664.

Step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 13

Advancing to step 2:
The number 13 fits into 49 3 times, leaving a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 10 after subtracting 39 from 49.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 13

Step 3:
13 goes into 109 8 times with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 38.0
Deduct 104 from 109 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 13

Moving on to step 4:
The number 13 fits into 56 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 384.0
If we take 52 away from 56, we end up with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 13

Step 5:
If we divide 46 by 13, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3843.0
Deduct 39 from 46 and we're left with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 13

Moving on to step 6:
13 can be fit into 74 5 times, resulting in a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 38435.0
If we take 65 away from 74, 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.

Moving on to step 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 38435.6
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 38435.69
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 9:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 38435.692
If we take 26 away from 30, we end up 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.

Advancing to step 10:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 38435.6923
Deduct 39 from 40 and we're left 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 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 38435.6923
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.

On to step 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 38435.692307
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 13:
90 divided by 13 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 38435.6923076
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.

Moving on to step 14:
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: 38435.69230769
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.

In conclusion, the division gives 38435.69230769 with a balance of 3e-09.