We're dividing 405584 by 95 
Our goal is to divide 405584 by 95.

Step 1:
The number 95 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 95

Advancing to step 2:
The number 95 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Take the next digit (5) from the dividend and append it to 40, then repeat: 405 / 95

Step 3:
When dividing 405 by 95, we get 4 with a remainder of 25.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 380 from 405 and we're left with 25.
Fetch the next digit (5) from the dividend, attach it to 25 and continue: 255 / 95

On to step 4:
95 goes into 255 2 times with a remainder of 65.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Subtract 190 from 255 to get 65.
Include the next digit (8) from the dividend after 65, then repeat: 658 / 95

Let's proceed to step 5:
658 divided by 95 is 6 with a remainder of 88.
The number 6 becomes the next digit in our result. 
Result so far: 426.0
Subtract 570 from 658 to get 88.
Append the next digit (4) from the dividend to 88 and continue with: 884 / 95

Going ahead to step 6:
95 can be fit into 884 9 times, resulting in a remainder of 29.
Put 9 as the next digit of the answer. 
Result so far: 4269.0
Subtract 855 from 884 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
95 goes into 290 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 4269.3
Subtract 285 from 290 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
95 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 4269.3
Deduct 0 from 50 and we're left 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 9:
95 can be fit into 500 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 4269.305
Deduct 475 from 500 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
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: 4269.3052
Deduct 190 from 250 and we're left 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.

Moving on to step 11:
95 can be fit into 600 6 times, resulting in a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 4269.30526
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.

Advancing to step 12:
The number 95 fits into 300 3 times, leaving a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 4269.305263
The remainder is 15 after subtracting 285 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 13:
If we divide 150 by 95, we get 1 and a remainder of 55.
The next digit of our result is 1. 
Result so far: 4269.3052631
Subtracting 95 from 150 leaves us 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.

On to step 14:
The number 95 fits into 550 5 times, leaving a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 4269.30526315
If we take 475 away from 550, we end up 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.

Our division results in 4269.30526315 with a remaining 7.5e-08.