We're dividing 508694 by 13 
Our goal is to divide 508694 by 13.

Step 1:
The number 13 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 13

On to step 2:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 39 from 50 leaves us with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 13

On to step 3:
The number 13 fits into 118 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
Subtracting 117 from 118 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 13

On to step 4:
The number 13 fits into 16 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 391.0
The remainder is 3 after subtracting 13 from 16.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 13

Advancing to step 5:
When dividing 39 by 13, we get 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3913.0
Deduct 39 from 39 and we're left with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 13

On to step 6:
4 divided by 13 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 39130.0
If we take 0 away from 4, 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.

Let's proceed to step 7:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 39130.3
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.

Advancing to step 8:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 39130.3
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.

Let's proceed to step 9:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 39130.307
Deduct 91 from 100 and we're left 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 10:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 39130.3076
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.

Going ahead to step 11:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 39130.30769
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.

Going ahead to step 12:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 39130.307692
Deduct 26 from 30 and we're left 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.

Step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 39130.3076923
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.

Step 14:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 39130.3076923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 39130.3076923 and a remainder of 1e-08.