We look at the division of 632282 by 96 
Our goal is to divide 632282 by 96.

Step 1:
96 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 96

On to step 2:
63 divided by 96 is 0 with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Bring next digit (2) of the dividend behind the 63 and repeat the process: 632 / 96

On to step 3:
When dividing 632 by 96, we get 6 with a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 576 from 632, we get 56.
Grab the next digit (2) from the dividend, add it to 56, then carry on: 562 / 96

Going ahead to step 4:
If we divide 562 by 96, we get 5 and a remainder of 82.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Deduct 480 from 562 and we're left with 82.
Bring next digit (8) of the dividend behind the 82 and repeat the process: 828 / 96

Step 5:
When dividing 828 by 96, we get 8 with a remainder of 60.
Use 8 as the next digit of our solution. 
Result so far: 658.0
If we take 768 away from 828, we end up with 60.
Include the next digit (2) from the dividend after 60, then repeat: 602 / 96

Let's proceed to step 6:
96 goes into 602 6 times with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 6586.0
Deduct 576 from 602 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.

Step 7:
The number 96 fits into 260 2 times, leaving a remainder of 68.
Record the quotient 2 as the next digit in the result. 
Result so far: 6586.2
Subtracting 192 from 260 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 8:
96 can be fit into 680 7 times, resulting in a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 6586.27
Deduct 672 from 680 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
The number 96 fits into 80 0 times, leaving a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 6586.27
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 10:
The number 96 fits into 800 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 6586.2708
If we take 768 away from 800, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
320 divided by 96 is 3 with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 6586.27083
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
If we divide 320 by 96, we get 3 and a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 6586.270833
Subtract 288 from 320 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.

The final result is 6586.270833 with a remainder of 3.2e-06.