We're dividing 683917 by 15 
We're looking to find how many times 15 goes into 683917.

On to step 1:
If we divide 6 by 15, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 15

Step 2:
When dividing 68 by 15, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 60 away from 68, we end up with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 15

Step 3:
15 goes into 83 5 times with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 45.0
Deduct 75 from 83 and we're left with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 15

Moving on to step 4:
89 divided by 15 is 5 with a remainder of 14.
The next digit of our result is 5. 
Result so far: 455.0
If we subtract 75 from 89, we get 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 15

Step 5:
15 goes into 141 9 times with a remainder of 6.
The next digit of our result is 9. 
Result so far: 4559.0
The remainder is 6 after subtracting 135 from 141.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 15

Going ahead to step 6:
67 divided by 15 is 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 45594.0
Subtracting 60 from 67 leaves us 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.

On to step 7:
15 goes into 70 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 45594.4
If we subtract 60 from 70, 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.

Going ahead to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 45594.46
Subtracting 90 from 100 leaves us 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:
When dividing 100 by 15, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 45594.466
Subtracting 90 from 100 leaves us 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.

Our division results in 45594.466 with a remaining 0.001.