Let's divide 75963 by 12
Our goal is to divide 75963 by 12.

Going ahead to step 1:
12 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 12

Step 2:
When dividing 75 by 12, we get 6 with a remainder of 3.
The next digit of our result is 6. 
Result so far: 6.0
If we take 72 away from 75, we end up with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 12

On to step 3:
The number 12 fits into 39 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 63.0
Deduct 36 from 39 and we're left with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 12

On to step 4:
36 divided by 12 is 3 with a remainder of 0.
The next digit of our result is 3. 
Result so far: 633.0
Deduct 36 from 36 and we're left with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 12

Let's proceed to step 5:
When dividing 3 by 12, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 6330.0
Deduct 0 from 3 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 6:
If we divide 30 by 12, we get 2 and a remainder of 6.
The next digit of our result is 2. 
Result so far: 6330.2
Subtract 24 from 30 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
The number 12 fits into 60 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 6330.25
If we subtract 60 from 60, we get 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 8:
The number 12 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 6330.25
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.

On to step 9:
The number 12 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6330.25
Deduct 0 from 0 and we're left 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.

After the division, we end up with 6330.25 and a remainder of 0.0.