We look at the division of 108633 by 34 
We want to figure out the number of times 108633 can be divided by 34.

Going ahead to step 1:
1 divided by 34 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 34

Step 2:
34 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 34

Advancing to step 3:
108 divided by 34 is 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 102 away from 108, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 34

Step 4:
34 goes into 66 1 times with a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 31.0
The remainder is 32 after subtracting 34 from 66.
Include the next digit (3) from the dividend after 32, then repeat: 323 / 34

On to step 5:
323 divided by 34 is 9 with a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 319.0
If we subtract 306 from 323, we get 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 34

Moving on to step 6:
34 can be fit into 173 5 times, resulting in a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 3195.0
Subtract 170 from 173 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
When dividing 30 by 34, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 3195.0
Subtract 0 from 30 to 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.

On to step 8:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 3195.08
Subtracting 272 from 300 leaves us 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: 3195.088
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 final outcome is 3195.088, with a leftover of 0.0008.