We're dividing 668590 by 34 
We're looking to find how many times 34 goes into 668590.

Going ahead to step 1:
34 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 34

Let's proceed to step 2:
If we divide 66 by 34, we get 1 and a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 32 after subtracting 34 from 66.
Grab the next digit (8) from the dividend, add it to 32, then carry on: 328 / 34

Let's proceed to step 3:
34 goes into 328 9 times with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtracting 306 from 328 leaves us with 22.
Bring next digit (5) of the dividend behind the 22 and repeat the process: 225 / 34

Let's proceed to step 4:
34 can be fit into 225 6 times, resulting in a remainder of 21.
Write down 6 as next digit of the result. 
Result so far: 196.0
Deduct 204 from 225 and we're left with 21.
Fetch the next digit (9) from the dividend, attach it to 21 and continue: 219 / 34

Moving on to step 5:
219 divided by 34 is 6 with a remainder of 15.
Record the quotient 6 as the next digit in the result. 
Result so far: 1966.0
Subtract 204 from 219 to get 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 34

Let's proceed to step 6:
34 can be fit into 150 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 19664.0
The remainder is 14 after subtracting 136 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
34 goes into 140 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 19664.4
If we subtract 136 from 140, we 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.

Advancing to step 8:
When dividing 40 by 34, we get 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 19664.41
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 9:
34 can be fit into 60 1 times, resulting in a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 19664.411
Subtract 34 from 60 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 19664.411 with a balance of 0.0026.