We look at the division of 416428 by 95 
We want to figure out the number of times 416428 can be divided by 95.

Advancing to step 1:
The number 95 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 95

Let's proceed to step 2:
When dividing 41 by 95, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 95

On to step 3:
If we divide 416 by 95, we get 4 and a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 380 from 416, we get 36.
Bring next digit (4) of the dividend behind the 36 and repeat the process: 364 / 95

Advancing to step 4:
95 goes into 364 3 times with a remainder of 79.
Put 3 as the next digit of the answer. 
Result so far: 43.0
If we subtract 285 from 364, we get 79.
Grab the next digit (2) from the dividend, add it to 79, then carry on: 792 / 95

On to step 5:
95 goes into 792 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 438.0
The remainder is 32 after subtracting 760 from 792.
Append the next digit (8) from the dividend to 32 and continue with: 328 / 95

On to step 6:
The number 95 fits into 328 3 times, leaving a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 4383.0
Subtracting 285 from 328 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
If we divide 430 by 95, we get 4 and a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 4383.4
Subtract 380 from 430 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
The number 95 fits into 500 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 4383.45
Subtracting 475 from 500 leaves us 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.

Step 9:
If we divide 250 by 95, we get 2 and a remainder of 60.
Write down 2 as next digit of the result. 
Result so far: 4383.452
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.

Moving on to step 10:
If we divide 600 by 95, we get 6 and a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 4383.4526
Deduct 570 from 600 and we're left 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.

Step 11:
300 divided by 95 is 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 4383.45263
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.

On to step 12:
95 goes into 150 1 times with a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 4383.452631
Subtract 95 from 150 to 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.

Advancing to step 13:
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: 4383.4526315
The remainder is 75 after subtracting 475 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 14:
95 can be fit into 750 7 times, resulting in a remainder of 85.
Record the quotient 7 as the next digit in the result. 
Result so far: 4383.45263157
Subtract 665 from 750 to get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Our division results in 4383.45263157 with a remaining 8.5e-08.