We divide 95964 by 3
We want to figure out the number of times 95964 can be divided by 3.

Step 1:
The number 3 fits into 9 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 9 from 9, we get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Let's proceed to step 2:
3 goes into 5 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 31.0
Deduct 3 from 5 and we're left with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 3

Moving on to step 3:
When dividing 29 by 3, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 319.0
The remainder is 2 after subtracting 27 from 29.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 3

Advancing to step 4:
3 goes into 26 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 3198.0
If we take 24 away from 26, we end up with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 3

On to step 5:
3 goes into 24 8 times with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 31988.0
Subtracting 24 from 24 leaves us 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 6:
3 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 31988.0
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.

Let's proceed to step 7:
When dividing 0 by 3, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 31988.0
The remainder is 0 after subtracting 0 from 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 31988.0 and a remainder of 0.0.