We're dividing 416621 by 95 
Our goal is to divide 416621 by 95.

Step 1:
If we divide 4 by 95, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 95

On to step 2:
If we divide 41 by 95, we get 0 and a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Take the next digit (6) from the dividend and append it to 41, then repeat: 416 / 95

Let's proceed to step 3:
416 divided by 95 is 4 with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 380 from 416 to get 36.
Take the next digit (6) from the dividend and append it to 36, then repeat: 366 / 95

Going ahead to step 4:
If we divide 366 by 95, we get 3 and a remainder of 81.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Subtract 285 from 366 to get 81.
Fetch the next digit (2) from the dividend, attach it to 81 and continue: 812 / 95

Let's proceed to step 5:
95 can be fit into 812 8 times, resulting in a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 438.0
If we take 760 away from 812, we end up with 52.
Append the next digit (1) from the dividend to 52 and continue with: 521 / 95

On to step 6:
When dividing 521 by 95, we get 5 with a remainder of 46.
The next digit of our result is 5. 
Result so far: 4385.0
Subtract 475 from 521 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 7:
95 can be fit into 460 4 times, resulting in a remainder of 80.
Write down 4 as next digit of the result. 
Result so far: 4385.4
If we take 380 away from 460, 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.

Advancing to step 8:
95 can be fit into 800 8 times, resulting in a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 4385.48
If we take 760 away from 800, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
95 can be fit into 400 4 times, resulting in a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 4385.484
Deduct 380 from 400 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
95 goes into 200 2 times with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 4385.4842
If we subtract 190 from 200, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
If we divide 100 by 95, we get 1 and a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 4385.48421
If we take 95 away from 100, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
95 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 4385.48421
Subtracting 0 from 50 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 13:
500 divided by 95 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 4385.4842105
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 14:
95 can be fit into 250 2 times, resulting in a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 4385.48421052
If we subtract 190 from 250, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The quotient of the division is 4385.48421052, and the remainder is 6e-08.