We're dividing 359230 by 34 
We want to figure out the number of times 359230 can be divided by 34.

Moving on to step 1:
34 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 34

Let's proceed to step 2:
If we divide 35 by 34, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 34 from 35 and we're left with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 34

Let's proceed to step 3:
The number 34 fits into 19 0 times, leaving a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 19 leaves us with 19.
Fetch the next digit (2) from the dividend, attach it to 19 and continue: 192 / 34

Step 4:
34 goes into 192 5 times with a remainder of 22.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
The remainder is 22 after subtracting 170 from 192.
Grab the next digit (3) from the dividend, add it to 22, then carry on: 223 / 34

Let's proceed to step 5:
The number 34 fits into 223 6 times, leaving a remainder of 19.
Use 6 as the next digit of our solution. 
Result so far: 1056.0
If we take 204 away from 223, we end up with 19.
Fetch the next digit (0) from the dividend, attach it to 19 and continue: 190 / 34

Going ahead to step 6:
34 goes into 190 5 times with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 10565.0
If we subtract 170 from 190, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
The number 34 fits into 200 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 10565.5
If we subtract 170 from 200, we 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.

Let's proceed to step 8:
34 can be fit into 300 8 times, resulting in a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 10565.58
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.

Advancing to step 9:
When dividing 280 by 34, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 10565.588
If we subtract 272 from 280, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 10565.588, and the remainder is 0.0008.