We're dividing 743381 by 96 
We want to divide 743381 by 96.

Going ahead to step 1:
If we divide 7 by 96, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 96

On to step 2:
The number 96 fits into 74 0 times, leaving a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 74 and we're left with 74.
Fetch the next digit (3) from the dividend, attach it to 74 and continue: 743 / 96

Step 3:
743 divided by 96 is 7 with a remainder of 71.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 672 away from 743, we end up with 71.
Bring next digit (3) of the dividend behind the 71 and repeat the process: 713 / 96

Step 4:
713 divided by 96 is 7 with a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 77.0
If we subtract 672 from 713, we get 41.
Grab the next digit (8) from the dividend, add it to 41, then carry on: 418 / 96

Advancing to step 5:
418 divided by 96 is 4 with a remainder of 34.
The next digit of our result is 4. 
Result so far: 774.0
The remainder is 34 after subtracting 384 from 418.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 96

On to step 6:
96 can be fit into 341 3 times, resulting in a remainder of 53.
Put 3 as the next digit of the answer. 
Result so far: 7743.0
Deduct 288 from 341 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 7:
530 divided by 96 is 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 7743.5
If we take 480 away from 530, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
500 divided by 96 is 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 7743.55
Deduct 480 from 500 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 7743.55, and the remainder is 0.02.