We look at the division of 270641 by 96 
We want to figure out the number of times 270641 can be divided by 96.

Advancing to step 1:
The number 96 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 96

Moving on to step 2:
27 divided by 96 is 0 with a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Bring next digit (0) of the dividend behind the 27 and repeat the process: 270 / 96

Step 3:
If we divide 270 by 96, we get 2 and a remainder of 78.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 192 from 270 leaves us with 78.
Bring next digit (6) of the dividend behind the 78 and repeat the process: 786 / 96

Let's proceed to step 4:
If we divide 786 by 96, we get 8 and a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 28.0
Subtracting 768 from 786 leaves us with 18.
Append the next digit (4) from the dividend to 18 and continue with: 184 / 96

Advancing to step 5:
184 divided by 96 is 1 with a remainder of 88.
The next digit of our result is 1. 
Result so far: 281.0
Subtracting 96 from 184 leaves us with 88.
Append the next digit (1) from the dividend to 88 and continue with: 881 / 96

Advancing to step 6:
96 can be fit into 881 9 times, resulting in a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 2819.0
Deduct 864 from 881 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
96 can be fit into 170 1 times, resulting in a remainder of 74.
Put 1 as the next digit of the answer. 
Result so far: 2819.1
The remainder is 74 after subtracting 96 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on 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: 2819.17
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.

Advancing to step 9:
96 can be fit into 680 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 2819.177
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.

The quotient of the division is 2819.177, and the remainder is 0.0008.