We're dividing 516079 by 34 
We want to divide 516079 by 34.

On to step 1:
When dividing 5 by 34, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 34

Advancing to step 2:
34 goes into 51 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 34 from 51 and we're left with 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 34

Advancing to step 3:
The number 34 fits into 176 5 times, leaving a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Deduct 170 from 176 and we're left with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 34

Step 4:
34 goes into 60 1 times with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 151.0
If we subtract 34 from 60, we get 26.
Take the next digit (7) from the dividend and append it to 26, then repeat: 267 / 34

Step 5:
34 can be fit into 267 7 times, resulting in a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 1517.0
If we subtract 238 from 267, we get 29.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 34

Step 6:
34 can be fit into 299 8 times, resulting in a remainder of 27.
Record the quotient 8 as the next digit in the result. 
Result so far: 15178.0
The remainder is 27 after subtracting 272 from 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
34 can be fit into 270 7 times, resulting in a remainder of 32.
The number 7 becomes the next digit in our result. 
Result so far: 15178.7
Subtracting 238 from 270 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
If we divide 320 by 34, we get 9 and a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 15178.79
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
34 can be fit into 140 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 15178.794
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
40 divided by 34 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 15178.7941
If we subtract 34 from 40, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
When dividing 60 by 34, we get 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 15178.79411
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 15178.79411 with a remainder of 2.6e-05.