We look at the division of 742481 by 96 
We're looking to find how many times 96 goes into 742481.

Advancing to step 1:
96 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 96

Moving on to step 2:
If we divide 74 by 96, we get 0 and a remainder of 74.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 74 to get 74.
Grab the next digit (2) from the dividend, add it to 74, then carry on: 742 / 96

Moving on to step 3:
When dividing 742 by 96, we get 7 with a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 672 away from 742, we end up with 70.
Include the next digit (4) from the dividend after 70, then repeat: 704 / 96

Advancing to step 4:
96 can be fit into 704 7 times, resulting in a remainder of 32.
The next digit of our result is 7. 
Result so far: 77.0
The remainder is 32 after subtracting 672 from 704.
Append the next digit (8) from the dividend to 32 and continue with: 328 / 96

Going ahead to step 5:
328 divided by 96 is 3 with a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 773.0
If we take 288 away from 328, we end up with 40.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 96

Advancing to step 6:
If we divide 401 by 96, we get 4 and a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 7734.0
Subtracting 384 from 401 leaves us 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.

Let's proceed 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: 7734.1
Deduct 96 from 170 and we're left 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.

Moving on to step 8:
96 goes into 740 7 times with a remainder of 68.
The number 7 becomes the next digit in our result. 
Result so far: 7734.17
Subtracting 672 from 740 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 9:
If we divide 680 by 96, we get 7 and a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 7734.177
Deduct 672 from 680 and we're left with 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 final result is 7734.177 with a remainder of 0.0008.