We're dividing 633671 by 96 
We're looking to find how many times 96 goes into 633671.

Let's proceed to step 1:
The number 96 fits into 6 0 times, leaving 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 (3) from the dividend and append it to 6, then repeat: 63 / 96

On to step 2:
The number 96 fits into 63 0 times, leaving a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Append the next digit (3) from the dividend to 63 and continue with: 633 / 96

On to step 3:
96 goes into 633 6 times with a remainder of 57.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 576 from 633, we get 57.
Grab the next digit (6) from the dividend, add it to 57, then carry on: 576 / 96

Step 4:
The number 96 fits into 576 6 times, leaving a remainder of 0.
The next digit of our result is 6. 
Result so far: 66.0
If we take 576 away from 576, we end up with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 96

Let's proceed to step 5:
96 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 660.0
Subtract 0 from 7 to get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 96

Let's proceed to step 6:
The number 96 fits into 71 0 times, leaving a remainder of 71.
The next digit of our result is 0. 
Result so far: 6600.0
Subtract 0 from 71 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 7:
96 goes into 710 7 times with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 6600.7
If we take 672 away from 710, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
96 goes into 380 3 times with a remainder of 92.
Record the quotient 3 as the next digit in the result. 
Result so far: 6600.73
Subtracting 288 from 380 leaves us with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Advancing to step 9:
When dividing 920 by 96, we get 9 with a remainder of 56.
The next digit of our result is 9. 
Result so far: 6600.739
Subtract 864 from 920 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 10:
When dividing 560 by 96, we get 5 with a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 6600.7395
Subtracting 480 from 560 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 11:
If we divide 800 by 96, we get 8 and a remainder of 32.
The next digit of our result is 8. 
Result so far: 6600.73958
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.

Let's proceed to step 12:
96 goes into 320 3 times with a remainder of 32.
The next digit of our result is 3. 
Result so far: 6600.739583
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 13:
96 can be fit into 320 3 times, resulting in a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 6600.7395833
The remainder is 32 after subtracting 288 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 6600.7395833 with a balance of 3.2e-07.