We're dividing 677602 by 95 
We're looking to find how many times 95 goes into 677602.

Advancing to step 1:
When dividing 6 by 95, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 95

Moving on to step 2:
95 can be fit into 67 0 times, resulting in a remainder of 67.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Fetch the next digit (7) from the dividend, attach it to 67 and continue: 677 / 95

On to step 3:
95 can be fit into 677 7 times, resulting in a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 665 away from 677, we end up with 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 95

Advancing to step 4:
If we divide 126 by 95, we get 1 and a remainder of 31.
The next digit of our result is 1. 
Result so far: 71.0
Deduct 95 from 126 and we're left with 31.
Include the next digit (0) from the dividend after 31, then repeat: 310 / 95

Step 5:
The number 95 fits into 310 3 times, leaving a remainder of 25.
The next digit of our result is 3. 
Result so far: 713.0
If we subtract 285 from 310, we get 25.
Include the next digit (2) from the dividend after 25, then repeat: 252 / 95

Step 6:
95 goes into 252 2 times with a remainder of 62.
Write down 2 as next digit of the result. 
Result so far: 7132.0
The remainder is 62 after subtracting 190 from 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 7:
When dividing 620 by 95, we get 6 with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 7132.6
Subtracting 570 from 620 leaves us 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.

Moving on to step 8:
The number 95 fits into 500 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 7132.65
If we subtract 475 from 500, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
If we divide 250 by 95, we get 2 and a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 7132.652
If we take 190 away from 250, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 10:
If we divide 600 by 95, we get 6 and a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 7132.6526
Subtracting 570 from 600 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
When dividing 300 by 95, we get 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 7132.65263
Subtracting 285 from 300 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
95 goes into 150 1 times with a remainder of 55.
Write down 1 as next digit of the result. 
Result so far: 7132.652631
Deduct 95 from 150 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 13:
95 can be fit into 550 5 times, resulting in a remainder of 75.
The next digit of our result is 5. 
Result so far: 7132.6526315
Subtract 475 from 550 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 14:
When dividing 750 by 95, we get 7 with a remainder of 85.
Put 7 as the next digit of the answer. 
Result so far: 7132.65263157
Deduct 665 from 750 and we're left with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

In conclusion, the division gives 7132.65263157 with a balance of 8.5e-08.