We look at the division of 677342 by 96 
Our goal is to divide 677342 by 96.

Moving on to step 1:
The number 96 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 96

Advancing to step 2:
67 divided by 96 is 0 with a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Take the next digit (7) from the dividend and append it to 67, then repeat: 677 / 96

Let's proceed to step 3:
When dividing 677 by 96, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 672 from 677, we get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 96

Going ahead to step 4:
When dividing 53 by 96, we get 0 with a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 70.0
If we take 0 away from 53, we end up with 53.
Fetch the next digit (4) from the dividend, attach it to 53 and continue: 534 / 96

Moving on to step 5:
When dividing 534 by 96, we get 5 with a remainder of 54.
Put 5 as the next digit of the answer. 
Result so far: 705.0
If we take 480 away from 534, we end up with 54.
Include the next digit (2) from the dividend after 54, then repeat: 542 / 96

Let's proceed to step 6:
96 goes into 542 5 times with a remainder of 62.
Write down 5 as next digit of the result. 
Result so far: 7055.0
Deduct 480 from 542 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 7:
When dividing 620 by 96, we get 6 with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 7055.6
Subtract 576 from 620 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 8:
96 goes into 440 4 times with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 7055.64
If we subtract 384 from 440, we get 56.
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 9:
96 goes into 560 5 times with a remainder of 80.
Write down 5 as next digit of the result. 
Result so far: 7055.645
Subtracting 480 from 560 leaves us 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 10:
If we divide 800 by 96, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 7055.6458
The remainder is 32 after subtracting 768 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
96 can be fit into 320 3 times, resulting in a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 7055.64583
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.

Advancing to step 12:
When dividing 320 by 96, we get 3 with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 7055.645833
Deduct 288 from 320 and we're left 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.

The final result is 7055.645833 with a remainder of 3.2e-06.