We're dividing 502682 by 13 
Our goal is to divide 502682 by 13.

Moving on to step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 13

Let's proceed to step 2:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 39 from 50 leaves us with 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 13

On to step 3:
13 goes into 112 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 38.0
Subtracting 104 from 112 leaves us with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 13

Advancing to step 4:
86 divided by 13 is 6 with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 386.0
Deduct 78 from 86 and we're left with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 13

On to step 5:
The number 13 fits into 88 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 3866.0
Subtracting 78 from 88 leaves us with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 13

Let's proceed to step 6:
The number 13 fits into 102 7 times, leaving a remainder of 11.
The next digit of our result is 7. 
Result so far: 38667.0
Subtract 91 from 102 to 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.

On to step 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 38667.8
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 8:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 38667.84
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 38667.846
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.

Moving on to step 10:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 38667.8461
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.

Going ahead to step 11:
When dividing 70 by 13, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 38667.84615
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.

Let's proceed to step 12:
50 divided by 13 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 38667.846153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 13:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 38667.8461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 38667.84615384
Deduct 52 from 60 and we're left 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.

In conclusion, the division gives 38667.84615384 with a balance of 8e-09.