We look at the division of 579314 by 34 
We want to divide 579314 by 34.

Advancing to step 1:
5 divided by 34 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 34

Moving on to step 2:
The number 34 fits into 57 1 times, leaving a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 34 away from 57, we end up with 23.
Append the next digit (9) from the dividend to 23 and continue with: 239 / 34

On to step 3:
34 goes into 239 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtracting 238 from 239 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 34

Moving on to step 4:
34 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 170.0
Deduct 0 from 13 and we're left with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 34

Going ahead to step 5:
34 goes into 131 3 times with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 1703.0
If we take 102 away from 131, we end up with 29.
Take the next digit (4) from the dividend and append it to 29, then repeat: 294 / 34

Advancing to step 6:
34 goes into 294 8 times with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 17038.0
If we subtract 272 from 294, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
220 divided by 34 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 17038.6
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
34 goes into 160 4 times with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 17038.64
The remainder is 24 after subtracting 136 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
The number 34 fits into 240 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 17038.647
Subtracting 238 from 240 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
20 divided by 34 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 17038.647
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
If we divide 200 by 34, we get 5 and a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 17038.64705
Subtract 170 from 200 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
If we divide 300 by 34, we get 8 and a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 17038.647058
Deduct 272 from 300 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 13:
280 divided by 34 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 17038.6470588
If we take 272 away from 280, 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.

Our division results in 17038.6470588 with a remaining 8e-08.