We're dividing 353382 by 34 
Let's see how many times 34 fits into 353382.

On to step 1:
34 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 34

Step 2:
34 can be fit into 35 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 34 from 35 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 34

Step 3:
34 goes into 13 0 times with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 13 to get 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 34

Advancing to step 4:
34 can be fit into 133 3 times, resulting in a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 103.0
Deduct 102 from 133 and we're left with 31.
Fetch the next digit (8) from the dividend, attach it to 31 and continue: 318 / 34

Let's proceed to step 5:
318 divided by 34 is 9 with a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 1039.0
If we take 306 away from 318, we end up with 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 34

Step 6:
34 goes into 122 3 times with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 10393.0
If we take 102 away from 122, 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.

Going ahead to step 7:
34 goes into 200 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 10393.5
If we take 170 away from 200, 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 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: 10393.58
If we take 272 away from 300, we end up 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.

Advancing to step 9:
34 can be fit into 280 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 10393.588
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.

Our division results in 10393.588 with a remaining 0.0008.