We're dividing 688152 by 72 
We want to figure out the number of times 688152 can be divided by 72.

On to step 1:
If we divide 6 by 72, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 72

Step 2:
68 divided by 72 is 0 with a remainder of 68.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 68 and we're left with 68.
Take the next digit (8) from the dividend and append it to 68, then repeat: 688 / 72

Going ahead to step 3:
The number 72 fits into 688 9 times, leaving a remainder of 40.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 648 from 688 to get 40.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 72

Step 4:
The number 72 fits into 401 5 times, leaving a remainder of 41.
Write down 5 as next digit of the result. 
Result so far: 95.0
If we take 360 away from 401, we end up with 41.
Bring next digit (5) of the dividend behind the 41 and repeat the process: 415 / 72

Advancing to step 5:
72 can be fit into 415 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 955.0
If we subtract 360 from 415, we get 55.
Fetch the next digit (2) from the dividend, attach it to 55 and continue: 552 / 72

Let's proceed to step 6:
72 goes into 552 7 times with a remainder of 48.
Put 7 as the next digit of the answer. 
Result so far: 9557.0
Subtracting 504 from 552 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 7:
If we divide 480 by 72, we get 6 and a remainder of 48.
The next digit of our result is 6. 
Result so far: 9557.6
The remainder is 48 after subtracting 432 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 8:
72 goes into 480 6 times with a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 9557.66
Deduct 432 from 480 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 9557.66 with a balance of 0.048.