Let's divide 421310 by 95
We want to divide 421310 by 95.

Going ahead to step 1:
4 divided by 95 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 95

Going ahead to step 2:
42 divided by 95 is 0 with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 95

Moving on to step 3:
95 can be fit into 421 4 times, resulting in a remainder of 41.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 41 after subtracting 380 from 421.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 95

Step 4:
95 can be fit into 413 4 times, resulting in a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 44.0
Subtract 380 from 413 to get 33.
Bring next digit (1) of the dividend behind the 33 and repeat the process: 331 / 95

Step 5:
95 can be fit into 331 3 times, resulting in a remainder of 46.
Write down 3 as next digit of the result. 
Result so far: 443.0
Deduct 285 from 331 and we're left with 46.
Take the next digit (0) from the dividend and append it to 46, then repeat: 460 / 95

Going ahead to step 6:
When dividing 460 by 95, we get 4 with a remainder of 80.
The number 4 becomes the next digit in our result. 
Result so far: 4434.0
The remainder is 80 after subtracting 380 from 460.
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 7:
95 goes into 800 8 times with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 4434.8
If we take 760 away from 800, we end up 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.

Let's proceed to step 8:
When dividing 400 by 95, we get 4 with a remainder of 20.
The next digit of our result is 4. 
Result so far: 4434.84
If we take 380 away from 400, we end up 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.

Going ahead to step 9:
200 divided by 95 is 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 4434.842
If we take 190 away from 200, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
The number 95 fits into 100 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 4434.8421
Deduct 95 from 100 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 11:
95 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 4434.8421
If we subtract 0 from 50, we 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.

Let's proceed to step 12:
95 can be fit into 500 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 4434.842105
The remainder is 25 after subtracting 475 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 13:
95 goes into 250 2 times with a remainder of 60.
Use 2 as the next digit of our solution. 
Result so far: 4434.8421052
Subtracting 190 from 250 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 14:
95 goes into 600 6 times with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 4434.84210526
Subtracting 570 from 600 leaves us 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.

Our division results in 4434.84210526 with a remaining 3e-08.