We're dividing 758679 by 34 
Our goal is to divide 758679 by 34.

Moving on to step 1:
7 divided by 34 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 34

Moving on to step 2:
75 divided by 34 is 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 68 from 75 and we're left with 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 34

On to step 3:
78 divided by 34 is 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Deduct 68 from 78 and we're left with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 34

Advancing to step 4:
When dividing 106 by 34, we get 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 223.0
Subtract 102 from 106 to get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 34

Advancing to step 5:
If we divide 47 by 34, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 2231.0
Subtracting 34 from 47 leaves us with 13.
Append the next digit (9) from the dividend to 13 and continue with: 139 / 34

Advancing to step 6:
The number 34 fits into 139 4 times, leaving a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 22314.0
If we take 136 away from 139, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
34 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 22314.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
34 goes into 300 8 times with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 22314.08
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
34 can be fit into 280 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 22314.088
Deduct 272 from 280 and we're left 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.

In conclusion, the division gives 22314.088 with a balance of 0.0008.