We look at the division of 295142 by 96 
We're looking to find how many times 96 goes into 295142.

Going ahead to step 1:
96 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 96

On to step 2:
When dividing 29 by 96, we get 0 with a remainder of 29.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 29, we get 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 96

Moving on to step 3:
96 goes into 295 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 7 after subtracting 288 from 295.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 96

Going ahead to step 4:
96 can be fit into 71 0 times, resulting in a remainder of 71.
Write down 0 as next digit of the result. 
Result so far: 30.0
Subtract 0 from 71 to get 71.
Grab the next digit (4) from the dividend, add it to 71, then carry on: 714 / 96

Step 5:
If we divide 714 by 96, we get 7 and a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 307.0
Subtract 672 from 714 to get 42.
Bring next digit (2) of the dividend behind the 42 and repeat the process: 422 / 96

On to step 6:
When dividing 422 by 96, we get 4 with a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 3074.0
Deduct 384 from 422 and we're left 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.

Moving on to step 7:
When dividing 380 by 96, we get 3 with a remainder of 92.
The next digit of our result is 3. 
Result so far: 3074.3
If we subtract 288 from 380, we get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Going ahead to step 8:
When dividing 920 by 96, we get 9 with a remainder of 56.
Put 9 as the next digit of the answer. 
Result so far: 3074.39
Deduct 864 from 920 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 9:
96 goes into 560 5 times with a remainder of 80.
Record the quotient 5 as the next digit in the result. 
Result so far: 3074.395
Deduct 480 from 560 and we're left 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.

Let's proceed to step 10:
When dividing 800 by 96, we get 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 3074.3958
The remainder is 32 after subtracting 768 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
96 goes into 320 3 times with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 3074.39583
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.

Let's proceed to step 12:
The number 96 fits into 320 3 times, leaving a remainder of 32.
The next digit of our result is 3. 
Result so far: 3074.395833
Deduct 288 from 320 and we're left 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.

After the division, we end up with 3074.395833 and a remainder of 3.2e-06.