676303 ÷ 95 
Our goal is to divide 676303 by 95.

Let's proceed to step 1:
6 divided by 95 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 95

Advancing to step 2:
If we divide 67 by 95, we get 0 and a remainder of 67.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 67 leaves us with 67.
Fetch the next digit (6) from the dividend, attach it to 67 and continue: 676 / 95

Let's proceed to step 3:
676 divided by 95 is 7 with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 665 from 676 to get 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 95

Let's proceed to step 4:
The number 95 fits into 113 1 times, leaving a remainder of 18.
The next digit of our result is 1. 
Result so far: 71.0
Subtract 95 from 113 to get 18.
Include the next digit (0) from the dividend after 18, then repeat: 180 / 95

Step 5:
If we divide 180 by 95, we get 1 and a remainder of 85.
Put 1 as the next digit of the answer. 
Result so far: 711.0
The remainder is 85 after subtracting 95 from 180.
Include the next digit (3) from the dividend after 85, then repeat: 853 / 95

On to step 6:
853 divided by 95 is 8 with a remainder of 93.
Record the quotient 8 as the next digit in the result. 
Result so far: 7118.0
If we take 760 away from 853, we end up with 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

Step 7:
95 goes into 930 9 times with a remainder of 75.
Write down 9 as next digit of the result. 
Result so far: 7118.9
The remainder is 75 after subtracting 855 from 930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 8:
95 can be fit into 750 7 times, resulting in a remainder of 85.
Write down 7 as next digit of the result. 
Result so far: 7118.97
Subtracting 665 from 750 leaves us 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.

Going ahead to step 9:
The number 95 fits into 850 8 times, leaving a remainder of 90.
Put 8 as the next digit of the answer. 
Result so far: 7118.978
The remainder is 90 after subtracting 760 from 850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Moving on to step 10:
The number 95 fits into 900 9 times, leaving a remainder of 45.
Put 9 as the next digit of the answer. 
Result so far: 7118.9789
If we take 855 away from 900, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 11:
If we divide 450 by 95, we get 4 and a remainder of 70.
Write down 4 as next digit of the result. 
Result so far: 7118.97894
Subtract 380 from 450 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 12:
When dividing 700 by 95, we get 7 with a remainder of 35.
The next digit of our result is 7. 
Result so far: 7118.978947
Subtracting 665 from 700 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 13:
The number 95 fits into 350 3 times, leaving a remainder of 65.
The number 3 becomes the next digit in our result. 
Result so far: 7118.9789473
Subtract 285 from 350 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 14:
95 goes into 650 6 times with a remainder of 80.
Put 6 as the next digit of the answer. 
Result so far: 7118.97894736
Deduct 570 from 650 and we're left 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.

Our division results in 7118.97894736 with a remaining 8e-08.