Let's divide 353382 by 34
Our goal is to divide 353382 by 34.

Step 1:
34 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 34

Moving on 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.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 34

Advancing to step 3:
13 divided by 34 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 13, we get 13.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 34

Let's proceed to step 4:
If we divide 133 by 34, we get 3 and a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 103.0
Subtracting 102 from 133 leaves us with 31.
Take the next digit (8) from the dividend and append it to 31, then repeat: 318 / 34

Step 5:
34 goes into 318 9 times with a remainder of 12.
The next digit of our result is 9. 
Result so far: 1039.0
Subtracting 306 from 318 leaves us with 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 34

Advancing to 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
Subtract 102 from 122 to 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.

Let's proceed to step 7:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 10393.5
The remainder is 30 after subtracting 170 from 200.
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:
300 divided by 34 is 8 with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 10393.58
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:
If we divide 280 by 34, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 10393.588
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.

The quotient of the division is 10393.588, and the remainder is 0.0008.