We look at the division of 74126 by 96 
We're looking to find how many times 96 goes into 74126.

Step 1:
96 goes into 7 0 times with 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.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 96

Going ahead to step 2:
74 divided by 96 is 0 with 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.
Take the next digit (1) from the dividend and append it to 74, then repeat: 741 / 96

Step 3:
If we divide 741 by 96, we get 7 and a remainder of 69.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 672 away from 741, we end up with 69.
Fetch the next digit (2) from the dividend, attach it to 69 and continue: 692 / 96

Advancing to step 4:
96 can be fit into 692 7 times, resulting in a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 77.0
Deduct 672 from 692 and we're left with 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 96

Let's proceed to step 5:
96 can be fit into 206 2 times, resulting in a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 772.0
Subtract 192 from 206 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 6:
The number 96 fits into 140 1 times, leaving a remainder of 44.
Write down 1 as next digit of the result. 
Result so far: 772.1
Deduct 96 from 140 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
If we divide 440 by 96, we get 4 and a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 772.14
The remainder is 56 after subtracting 384 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
When dividing 560 by 96, we get 5 with a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 772.145
If we take 480 away from 560, we end up 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.

Moving on to step 9:
96 can be fit into 800 8 times, resulting in a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 772.1458
Subtract 768 from 800 to get 32.
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 10:
The number 96 fits into 320 3 times, leaving a remainder of 32.
The next digit of our result is 3. 
Result so far: 772.14583
If we take 288 away from 320, we end up 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.

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: 772.145833
If we take 288 away from 320, we end up 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.

In conclusion, the division gives 772.145833 with a balance of 3.2e-06.