Let's divide 96631 by 75
Our goal is to divide 96631 by 75.

Advancing to step 1:
When dividing 9 by 75, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 75

Step 2:
If we divide 96 by 75, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 75 from 96, we get 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 75

Let's proceed to step 3:
75 can be fit into 216 2 times, resulting in a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 150 away from 216, we end up with 66.
Include the next digit (3) from the dividend after 66, then repeat: 663 / 75

Let's proceed to step 4:
75 can be fit into 663 8 times, resulting in a remainder of 63.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
If we subtract 600 from 663, we get 63.
Append the next digit (1) from the dividend to 63 and continue with: 631 / 75

On to step 5:
75 goes into 631 8 times with a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 1288.0
Deduct 600 from 631 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 6:
310 divided by 75 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 1288.4
Subtracting 300 from 310 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
When dividing 100 by 75, we get 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 1288.41
The remainder is 25 after subtracting 75 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
75 goes into 250 3 times with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 1288.413
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 1288.4133
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 1288.4133 with a remaining 0.00025.