We're dividing 516983 by 15 
We want to figure out the number of times 516983 can be divided by 15.

Step 1:
15 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 15

Advancing to step 2:
15 goes into 51 3 times with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 45 from 51 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 15

Moving on to step 3:
If we divide 66 by 15, we get 4 and a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 34.0
If we subtract 60 from 66, we get 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 15

Going ahead to step 4:
15 goes into 69 4 times with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 344.0
Subtract 60 from 69 to get 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 15

Going ahead to step 5:
98 divided by 15 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 3446.0
Deduct 90 from 98 and we're left with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 15

Moving on to step 6:
15 goes into 83 5 times with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 34465.0
If we take 75 away from 83, we end up 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.

Advancing to step 7:
15 goes into 80 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 34465.5
If we subtract 75 from 80, 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.

On to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 34465.53
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.

On to step 9:
15 goes into 50 3 times with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 34465.533
Subtract 45 from 50 to 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.

The quotient of the division is 34465.533, and the remainder is 0.0005.