We look at the division of 102983 by 15 
Our goal is to divide 102983 by 15.

On to step 1:
When dividing 1 by 15, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 15

On to step 2:
10 divided by 15 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 15

Advancing to step 3:
If we divide 102 by 15, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 90 from 102 leaves us with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 15

On to step 4:
15 can be fit into 129 8 times, resulting in a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
If we subtract 120 from 129, we get 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 15

On to step 5:
15 goes into 98 6 times with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 686.0
The remainder is 8 after subtracting 90 from 98.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 15

Advancing to step 6:
83 divided by 15 is 5 with a remainder of 8.
The next digit of our result is 5. 
Result so far: 6865.0
Deduct 75 from 83 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.

Moving on to step 7:
If we divide 80 by 15, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 6865.5
If we take 75 away from 80, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
15 goes into 50 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 6865.53
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
50 divided by 15 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 6865.533
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 6865.533 with a remainder of 0.0005.