We're dividing 516199 by 75 
We're looking to find how many times 75 goes into 516199.

Advancing to step 1:
5 divided by 75 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 75

Step 2:
75 goes into 51 0 times with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Append the next digit (6) from the dividend to 51 and continue with: 516 / 75

Step 3:
When dividing 516 by 75, we get 6 with a remainder of 66.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 450 from 516, we get 66.
Include the next digit (1) from the dividend after 66, then repeat: 661 / 75

Let's proceed to step 4:
75 can be fit into 661 8 times, resulting in a remainder of 61.
Write down 8 as next digit of the result. 
Result so far: 68.0
If we take 600 away from 661, we end up with 61.
Take the next digit (9) from the dividend and append it to 61, then repeat: 619 / 75

Going ahead to step 5:
75 goes into 619 8 times with a remainder of 19.
The number 8 becomes the next digit in our result. 
Result so far: 688.0
If we subtract 600 from 619, we get 19.
Bring next digit (9) of the dividend behind the 19 and repeat the process: 199 / 75

Step 6:
75 can be fit into 199 2 times, resulting in a remainder of 49.
The number 2 becomes the next digit in our result. 
Result so far: 6882.0
Subtract 150 from 199 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 7:
If we divide 490 by 75, we get 6 and a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 6882.6
The remainder is 40 after subtracting 450 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
If we divide 400 by 75, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6882.65
If we subtract 375 from 400, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
75 goes into 250 3 times with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 6882.653
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
If we divide 250 by 75, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 6882.6533
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 6882.6533, with a leftover of 0.00025.