We divide 65983 by 15
We want to divide 65983 by 15.

On to step 1:
When dividing 6 by 15, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 15

Moving on to step 2:
The number 15 fits into 65 4 times, leaving a remainder of 5.
The next digit of our result is 4. 
Result so far: 4.0
If we take 60 away from 65, we end up with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 15

Step 3:
If we divide 59 by 15, we get 3 and a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 43.0
The remainder is 14 after subtracting 45 from 59.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 15

Step 4:
15 can be fit into 148 9 times, resulting in a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 439.0
The remainder is 13 after subtracting 135 from 148.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 15

Let's proceed to step 5:
133 divided by 15 is 8 with a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 4398.0
Deduct 120 from 133 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 6:
If we divide 130 by 15, we get 8 and a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 4398.8
The remainder is 10 after subtracting 120 from 130.
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 7:
When dividing 100 by 15, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 4398.86
If we subtract 90 from 100, 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.

On to step 8:
100 divided by 15 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 4398.866
The remainder is 10 after subtracting 90 from 100.
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 4398.866 and a remainder of 0.001.