Let's divide 633689 by 34
We want to figure out the number of times 633689 can be divided by 34.

Advancing to step 1:
34 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 34

Moving on to step 2:
34 goes into 63 1 times with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 29 after subtracting 34 from 63.
Fetch the next digit (3) from the dividend, attach it to 29 and continue: 293 / 34

Let's proceed to step 3:
The number 34 fits into 293 8 times, leaving a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 18.0
If we take 272 away from 293, we end up with 21.
Fetch the next digit (6) from the dividend, attach it to 21 and continue: 216 / 34

On to step 4:
If we divide 216 by 34, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 186.0
If we take 204 away from 216, we end up with 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 34

Step 5:
If we divide 128 by 34, we get 3 and a remainder of 26.
The next digit of our result is 3. 
Result so far: 1863.0
If we subtract 102 from 128, we get 26.
Include the next digit (9) from the dividend after 26, then repeat: 269 / 34

Step 6:
269 divided by 34 is 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 18637.0
If we take 238 away from 269, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
34 goes into 310 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 18637.9
The remainder is 4 after subtracting 306 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 18637.91
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
60 divided by 34 is 1 with a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 18637.911
If we subtract 34 from 60, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 18637.911 with a balance of 0.0026.