396965 ÷ 95 
Our goal is to divide 396965 by 95.

Advancing to step 1:
When dividing 3 by 95, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 95

Let's proceed to step 2:
When dividing 39 by 95, we get 0 with a remainder of 39.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 39 leaves us with 39.
Take the next digit (6) from the dividend and append it to 39, then repeat: 396 / 95

Moving on to step 3:
When dividing 396 by 95, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 380 from 396, we get 16.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 95

Step 4:
95 goes into 169 1 times with a remainder of 74.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Subtracting 95 from 169 leaves us with 74.
Take the next digit (6) from the dividend and append it to 74, then repeat: 746 / 95

Going ahead to step 5:
When dividing 746 by 95, we get 7 with a remainder of 81.
Write down 7 as next digit of the result. 
Result so far: 417.0
Deduct 665 from 746 and we're left with 81.
Include the next digit (5) from the dividend after 81, then repeat: 815 / 95

Going ahead to step 6:
815 divided by 95 is 8 with a remainder of 55.
Put 8 as the next digit of the answer. 
Result so far: 4178.0
The remainder is 55 after subtracting 760 from 815.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 7:
When dividing 550 by 95, we get 5 with a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 4178.5
Subtracting 475 from 550 leaves us with 75.
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:
The number 95 fits into 750 7 times, leaving a remainder of 85.
The next digit of our result is 7. 
Result so far: 4178.57
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.

Let's proceed to step 9:
850 divided by 95 is 8 with a remainder of 90.
Use 8 as the next digit of our solution. 
Result so far: 4178.578
Subtract 760 from 850 to get 90.
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:
900 divided by 95 is 9 with a remainder of 45.
Record the quotient 9 as the next digit in the result. 
Result so far: 4178.5789
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.

On to step 11:
450 divided by 95 is 4 with a remainder of 70.
Use 4 as the next digit of our solution. 
Result so far: 4178.57894
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.

Moving on to step 12:
The number 95 fits into 700 7 times, leaving a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 4178.578947
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.

Going ahead to step 13:
When dividing 350 by 95, we get 3 with a remainder of 65.
Use 3 as the next digit of our solution. 
Result so far: 4178.5789473
Subtracting 285 from 350 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 14:
The number 95 fits into 650 6 times, leaving a remainder of 80.
The next digit of our result is 6. 
Result so far: 4178.57894736
If we take 570 away from 650, 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.

Our division results in 4178.57894736 with a remaining 8e-08.