496363 ÷ 13 
We want to divide 496363 by 13.

Let's proceed to step 1:
13 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 13

Step 2:
When dividing 49 by 13, we get 3 with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 39 from 49 leaves us with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 13

Going ahead to step 3:
13 can be fit into 106 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 38.0
If we take 104 away from 106, we end up with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Step 4:
When dividing 23 by 13, we get 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 381.0
Deduct 13 from 23 and we're left with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 13

Let's proceed to step 5:
106 divided by 13 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 3818.0
The remainder is 2 after subtracting 104 from 106.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 13

On to step 6:
13 can be fit into 23 1 times, resulting in a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 38181.0
Deduct 13 from 23 and we're left 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 7:
If we divide 100 by 13, we get 7 and a remainder of 9.
The next digit of our result is 7. 
Result so far: 38181.7
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.

On to step 8:
13 goes into 90 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 38181.76
If we take 78 away from 90, we end up 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.

Step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 38181.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 38181.7692
The remainder is 4 after subtracting 26 from 30.
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 11:
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: 38181.76923
If we subtract 39 from 40, we 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.

On to step 12:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 38181.76923
Deduct 0 from 10 and we're left 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 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 38181.7692307
If we subtract 91 from 100, we get 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 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 38181.76923076
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.

In conclusion, the division gives 38181.76923076 with a balance of 1.2e-08.