We're dividing 468517 by 13 
Our goal is to divide 468517 by 13.

Step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 13

Let's proceed to step 2:
13 can be fit into 46 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 39 from 46 and we're left with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 13

Let's proceed to step 3:
If we divide 78 by 13, we get 6 and a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 36.0
If we take 78 away from 78, we end up with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 13

Let's proceed to step 4:
13 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 360.0
If we subtract 0 from 5, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 13

Moving on to step 5:
51 divided by 13 is 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 3603.0
If we take 39 away from 51, we end up with 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 13

Step 6:
If we divide 127 by 13, we get 9 and a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 36039.0
Deduct 117 from 127 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 7:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 36039.7
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 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 36039.76
Subtracting 78 from 90 leaves us 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:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 36039.769
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.

Let's proceed to step 10:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 36039.7692
Subtract 26 from 30 to get 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 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 36039.76923
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.

On to step 12:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 36039.76923
The remainder is 10 after subtracting 0 from 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 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 36039.7692307
Subtract 91 from 100 to 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.

Going ahead 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: 36039.76923076
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 36039.76923076 with a balance of 1.2e-08.