75688 divided by 96 
We're looking to find how many times 96 goes into 75688.

On to step 1:
If we divide 7 by 96, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 96

On to step 2:
When dividing 75 by 96, we get 0 with a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 75 and we're left with 75.
Bring next digit (6) of the dividend behind the 75 and repeat the process: 756 / 96

Step 3:
When dividing 756 by 96, we get 7 with a remainder of 84.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 672 from 756 to get 84.
Grab the next digit (8) from the dividend, add it to 84, then carry on: 848 / 96

On to step 4:
848 divided by 96 is 8 with a remainder of 80.
The next digit of our result is 8. 
Result so far: 78.0
Deduct 768 from 848 and we're left with 80.
Include the next digit (8) from the dividend after 80, then repeat: 808 / 96

Let's proceed to step 5:
808 divided by 96 is 8 with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 788.0
Subtracting 768 from 808 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 6:
If we divide 400 by 96, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 788.4
If we subtract 384 from 400, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
160 divided by 96 is 1 with a remainder of 64.
Use 1 as the next digit of our solution. 
Result so far: 788.41
Deduct 96 from 160 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 8:
When dividing 640 by 96, we get 6 with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 788.416
Subtracting 576 from 640 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 9:
The number 96 fits into 640 6 times, leaving a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 788.4166
Deduct 576 from 640 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 788.4166 with a remaining 0.00064.