We're dividing 415639 by 96 
Our goal is to divide 415639 by 96.

Step 1:
96 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 96

Moving on to step 2:
If we divide 41 by 96, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (5) from the dividend and append it to 41, then repeat: 415 / 96

On to step 3:
96 can be fit into 415 4 times, resulting in a remainder of 31.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 31 after subtracting 384 from 415.
Append the next digit (6) from the dividend to 31 and continue with: 316 / 96

Step 4:
When dividing 316 by 96, we get 3 with a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Subtract 288 from 316 to get 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 96

Step 5:
96 can be fit into 283 2 times, resulting in a remainder of 91.
Use 2 as the next digit of our solution. 
Result so far: 432.0
Subtracting 192 from 283 leaves us with 91.
Include the next digit (9) from the dividend after 91, then repeat: 919 / 96

On to step 6:
96 goes into 919 9 times with a remainder of 55.
Use 9 as the next digit of our solution. 
Result so far: 4329.0
If we subtract 864 from 919, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
The number 96 fits into 550 5 times, leaving a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 4329.5
Subtract 480 from 550 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.

On to step 8:
The number 96 fits into 700 7 times, leaving a remainder of 28.
Write down 7 as next digit of the result. 
Result so far: 4329.57
Subtracting 672 from 700 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
280 divided by 96 is 2 with a remainder of 88.
Write down 2 as next digit of the result. 
Result so far: 4329.572
Subtracting 192 from 280 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 10:
880 divided by 96 is 9 with a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 4329.5729
If we take 864 away from 880, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
96 goes into 160 1 times with a remainder of 64.
The number 1 becomes the next digit in our result. 
Result so far: 4329.57291
If we take 96 away from 160, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 12:
640 divided by 96 is 6 with a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 4329.572916
If we subtract 576 from 640, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 13:
640 divided by 96 is 6 with a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 4329.5729166
Subtract 576 from 640 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final outcome is 4329.5729166, with a leftover of 6.4e-07.