95845 ÷ 33 
Our goal is to divide 95845 by 33.

Advancing to step 1:
9 divided by 33 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 33

Advancing to step 2:
When dividing 95 by 33, we get 2 with a remainder of 29.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 66 from 95 and we're left with 29.
Fetch the next digit (8) from the dividend, attach it to 29 and continue: 298 / 33

Moving on to step 3:
33 goes into 298 9 times with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
Deduct 297 from 298 and we're left with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 33

Let's proceed to step 4:
14 divided by 33 is 0 with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 290.0
If we subtract 0 from 14, we get 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 33

Let's proceed to step 5:
33 can be fit into 145 4 times, resulting in a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 2904.0
Deduct 132 from 145 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 6:
If we divide 130 by 33, we get 3 and a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 2904.3
Subtracting 99 from 130 leaves us 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.

Moving on to step 7:
310 divided by 33 is 9 with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 2904.39
The remainder is 13 after subtracting 297 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
When dividing 130 by 33, we get 3 with a remainder of 31.
The next digit of our result is 3. 
Result so far: 2904.393
If we subtract 99 from 130, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 9:
310 divided by 33 is 9 with a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 2904.3939
The remainder is 13 after subtracting 297 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 10:
130 divided by 33 is 3 with a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 2904.39393
If we subtract 99 from 130, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 11:
310 divided by 33 is 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 2904.393939
Subtract 297 from 310 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 12:
33 goes into 130 3 times with a remainder of 31.
The next digit of our result is 3. 
Result so far: 2904.3939393
Deduct 99 from 130 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.

Let's proceed to step 13:
The number 33 fits into 310 9 times, leaving a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 2904.39393939
Subtracting 297 from 310 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 2904.39393939, and the remainder is 1.3e-08.