We look at the division of 419586 by 95 
Our goal is to divide 419586 by 95.

Let's proceed to step 1:
If we divide 4 by 95, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 95

Let's proceed to step 2:
95 can be fit into 41 0 times, resulting in a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Grab the next digit (9) from the dividend, add it to 41, then carry on: 419 / 95

Advancing to step 3:
95 goes into 419 4 times with a remainder of 39.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 380 from 419, we get 39.
Take the next digit (5) from the dividend and append it to 39, then repeat: 395 / 95

Moving on to step 4:
95 can be fit into 395 4 times, resulting in a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
Deduct 380 from 395 and we're left with 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 95

Step 5:
The number 95 fits into 158 1 times, leaving a remainder of 63.
Record the quotient 1 as the next digit in the result. 
Result so far: 441.0
If we subtract 95 from 158, we get 63.
Append the next digit (6) from the dividend to 63 and continue with: 636 / 95

On to step 6:
636 divided by 95 is 6 with a remainder of 66.
Record the quotient 6 as the next digit in the result. 
Result so far: 4416.0
If we subtract 570 from 636, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 7:
95 goes into 660 6 times with a remainder of 90.
The number 6 becomes the next digit in our result. 
Result so far: 4416.6
If we subtract 570 from 660, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 8:
95 goes into 900 9 times with a remainder of 45.
Write down 9 as next digit of the result. 
Result so far: 4416.69
Deduct 855 from 900 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 9:
95 goes into 450 4 times with a remainder of 70.
Write down 4 as next digit of the result. 
Result so far: 4416.694
Subtracting 380 from 450 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 10:
700 divided by 95 is 7 with a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 4416.6947
If we take 665 away from 700, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 11:
The number 95 fits into 350 3 times, leaving a remainder of 65.
Use 3 as the next digit of our solution. 
Result so far: 4416.69473
If we subtract 285 from 350, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 12:
When dividing 650 by 95, we get 6 with a remainder of 80.
Put 6 as the next digit of the answer. 
Result so far: 4416.694736
If we subtract 570 from 650, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 13:
95 can be fit into 800 8 times, resulting in a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 4416.6947368
Deduct 760 from 800 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 14:
When dividing 400 by 95, we get 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 4416.69473684
Subtracting 380 from 400 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 4416.69473684 with a remaining 2e-08.