688584 ÷ 96 
We want to figure out the number of times 688584 can be divided by 96.

Step 1:
The number 96 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 96

On to step 2:
68 divided by 96 is 0 with a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 68, we end up with 68.
Append the next digit (8) from the dividend to 68 and continue with: 688 / 96

On to step 3:
96 can be fit into 688 7 times, resulting in a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 672 from 688 leaves us with 16.
Take the next digit (5) from the dividend and append it to 16, then repeat: 165 / 96

Let's proceed to step 4:
96 goes into 165 1 times with a remainder of 69.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
Deduct 96 from 165 and we're left with 69.
Fetch the next digit (8) from the dividend, attach it to 69 and continue: 698 / 96

On to step 5:
698 divided by 96 is 7 with a remainder of 26.
The next digit of our result is 7. 
Result so far: 717.0
If we subtract 672 from 698, we get 26.
Bring next digit (4) of the dividend behind the 26 and repeat the process: 264 / 96

On to step 6:
If we divide 264 by 96, we get 2 and a remainder of 72.
Put 2 as the next digit of the answer. 
Result so far: 7172.0
If we subtract 192 from 264, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 7:
96 goes into 720 7 times with a remainder of 48.
Use 7 as the next digit of our solution. 
Result so far: 7172.7
Subtract 672 from 720 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 8:
480 divided by 96 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 7172.75
Subtracting 480 from 480 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
96 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 7172.75
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
96 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7172.75
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 7172.75 with a remainder of 0.0.