We look at the division of 417121 by 96 
Our goal is to divide 417121 by 96.

Advancing to step 1:
96 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 96

On to step 2:
When dividing 41 by 96, we get 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Include the next digit (7) from the dividend after 41, then repeat: 417 / 96

Going ahead to step 3:
If we divide 417 by 96, we get 4 and a remainder of 33.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 33 after subtracting 384 from 417.
Include the next digit (1) from the dividend after 33, then repeat: 331 / 96

Going ahead to step 4:
If we divide 331 by 96, we get 3 and a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 43.0
If we take 288 away from 331, we end up with 43.
Append the next digit (2) from the dividend to 43 and continue with: 432 / 96

Advancing to step 5:
432 divided by 96 is 4 with a remainder of 48.
The next digit of our result is 4. 
Result so far: 434.0
The remainder is 48 after subtracting 384 from 432.
Fetch the next digit (1) from the dividend, attach it to 48 and continue: 481 / 96

Step 6:
The number 96 fits into 481 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 4345.0
The remainder is 1 after subtracting 480 from 481.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
If we divide 10 by 96, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 4345.0
Subtract 0 from 10 to 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.

Going ahead to step 8:
96 goes into 100 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 4345.01
If we subtract 96 from 100, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
The number 96 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 4345.01
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
If we divide 400 by 96, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 4345.0104
If we take 384 away from 400, 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.

On to step 11:
96 goes into 160 1 times with a remainder of 64.
Use 1 as the next digit of our solution. 
Result so far: 4345.01041
If we subtract 96 from 160, 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.

On to step 12:
When dividing 640 by 96, we get 6 with a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 4345.010416
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.

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: 4345.0104166
Deduct 576 from 640 and we're left 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.

In conclusion, the division gives 4345.0104166 with a balance of 6.4e-07.