338177 ÷ 96 
We want to figure out the number of times 338177 can be divided by 96.

Going ahead to step 1:
96 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 96

Moving on to step 2:
33 divided by 96 is 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Bring next digit (8) of the dividend behind the 33 and repeat the process: 338 / 96

Advancing to step 3:
96 goes into 338 3 times with a remainder of 50.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 288 from 338 and we're left with 50.
Take the next digit (1) from the dividend and append it to 50, then repeat: 501 / 96

On to step 4:
96 goes into 501 5 times with a remainder of 21.
The next digit of our result is 5. 
Result so far: 35.0
Subtracting 480 from 501 leaves us with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 96

Going ahead to step 5:
The number 96 fits into 217 2 times, leaving a remainder of 25.
Put 2 as the next digit of the answer. 
Result so far: 352.0
The remainder is 25 after subtracting 192 from 217.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 96

Let's proceed to step 6:
If we divide 257 by 96, we get 2 and a remainder of 65.
The next digit of our result is 2. 
Result so far: 3522.0
The remainder is 65 after subtracting 192 from 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 7:
If we divide 650 by 96, we get 6 and a remainder of 74.
Record the quotient 6 as the next digit in the result. 
Result so far: 3522.6
If we take 576 away from 650, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 8:
The number 96 fits into 740 7 times, leaving a remainder of 68.
The next digit of our result is 7. 
Result so far: 3522.67
The remainder is 68 after subtracting 672 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 9:
The number 96 fits into 680 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 3522.677
If we subtract 672 from 680, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 3522.677 with a balance of 0.0008.