We're dividing 321133 by 34 
Let's see how many times 34 fits into 321133.

Advancing to step 1:
If we divide 3 by 34, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 34

On to step 2:
34 can be fit into 32 0 times, resulting in a remainder of 32.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 32 to get 32.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 34

Going ahead to step 3:
321 divided by 34 is 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 15 after subtracting 306 from 321.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 34

Advancing to step 4:
If we divide 151 by 34, we get 4 and a remainder of 15.
The next digit of our result is 4. 
Result so far: 94.0
If we subtract 136 from 151, we get 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 34

On to step 5:
34 goes into 153 4 times with a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 944.0
Subtract 136 from 153 to get 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 34

Advancing to step 6:
173 divided by 34 is 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 9445.0
The remainder is 3 after subtracting 170 from 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
The number 34 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 9445.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 9445.08
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.

On to step 9:
280 divided by 34 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 9445.088
The remainder is 8 after subtracting 272 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 9445.088 and a remainder of 0.0008.