We're dividing 678257 by 96 
Our goal is to divide 678257 by 96.

Step 1:
If we divide 6 by 96, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 96

Going ahead to step 2:
The number 96 fits into 67 0 times, leaving a remainder of 67.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 67 and we're left with 67.
Include the next digit (8) from the dividend after 67, then repeat: 678 / 96

Let's proceed to step 3:
678 divided by 96 is 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 6 after subtracting 672 from 678.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 96

Advancing to step 4:
When dividing 62 by 96, we get 0 with a remainder of 62.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
If we take 0 away from 62, we end up with 62.
Take the next digit (5) from the dividend and append it to 62, then repeat: 625 / 96

Let's proceed to step 5:
The number 96 fits into 625 6 times, leaving a remainder of 49.
The next digit of our result is 6. 
Result so far: 706.0
If we subtract 576 from 625, we get 49.
Fetch the next digit (7) from the dividend, attach it to 49 and continue: 497 / 96

Going ahead to step 6:
If we divide 497 by 96, we get 5 and a remainder of 17.
Use 5 as the next digit of our solution. 
Result so far: 7065.0
If we take 480 away from 497, we end up 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.

Step 7:
The number 96 fits into 170 1 times, leaving a remainder of 74.
Record the quotient 1 as the next digit in the result. 
Result so far: 7065.1
If we take 96 away from 170, 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.

Let's proceed to step 8:
If we divide 740 by 96, we get 7 and a remainder of 68.
Write down 7 as next digit of the result. 
Result so far: 7065.17
If we subtract 672 from 740, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 9:
96 can be fit into 680 7 times, resulting in a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 7065.177
The remainder is 8 after subtracting 672 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 7065.177 and a remainder of 0.0008.