We look at the division of 416641 by 96 
We want to figure out the number of times 416641 can be divided by 96.

On to step 1:
4 divided by 96 is 0 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.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 96

Advancing to step 2:
41 divided by 96 is 0 with 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.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 96

On to step 3:
96 can be fit into 416 4 times, resulting in a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 384 away from 416, we end up with 32.
Include the next digit (6) from the dividend after 32, then repeat: 326 / 96

Going ahead to step 4:
326 divided by 96 is 3 with a remainder of 38.
Use 3 as the next digit of our solution. 
Result so far: 43.0
The remainder is 38 after subtracting 288 from 326.
Grab the next digit (4) from the dividend, add it to 38, then carry on: 384 / 96

Advancing to step 5:
If we divide 384 by 96, we get 4 and a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 434.0
The remainder is 0 after subtracting 384 from 384.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 96

Advancing to step 6:
96 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 4340.0
If we subtract 0 from 1, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
If we divide 10 by 96, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 4340.0
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.

On to step 8:
96 goes into 100 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 4340.01
Subtract 96 from 100 to 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.

Advancing to step 9:
40 divided by 96 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 4340.01
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
96 can be fit into 400 4 times, resulting in a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 4340.0104
If we subtract 384 from 400, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
160 divided by 96 is 1 with a remainder of 64.
The number 1 becomes the next digit in our result. 
Result so far: 4340.01041
Deduct 96 from 160 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.

Moving on to step 12:
If we divide 640 by 96, we get 6 and a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 4340.010416
If we take 576 away from 640, 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.

On to step 13:
When dividing 640 by 96, we get 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 4340.0104166
The remainder is 64 after subtracting 576 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 4340.0104166, and the remainder is 6.4e-07.