We look at the division of 688872 by 34 
We want to figure out the number of times 688872 can be divided by 34.

Step 1:
34 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 34

Step 2:
The number 34 fits into 68 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 0 after subtracting 68 from 68.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 34

Going ahead to step 3:
8 divided by 34 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 34

On to step 4:
When dividing 88 by 34, we get 2 with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 202.0
If we subtract 68 from 88, we get 20.
Include the next digit (7) from the dividend after 20, then repeat: 207 / 34

Step 5:
If we divide 207 by 34, we get 6 and a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 2026.0
Subtracting 204 from 207 leaves us with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 34

On to step 6:
34 can be fit into 32 0 times, resulting in a remainder of 32.
Write down 0 as next digit of the result. 
Result so far: 20260.0
Subtract 0 from 32 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
320 divided by 34 is 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 20260.9
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
34 goes into 140 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 20260.94
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
40 divided by 34 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 20260.941
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
60 divided by 34 is 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 20260.9411
Deduct 34 from 60 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 20260.9411 with a remainder of 0.00026.