Let's divide 509213 by 95
Our goal is to divide 509213 by 95.

Step 1:
When dividing 5 by 95, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 95

Moving on to step 2:
If we divide 50 by 95, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Bring next digit (9) of the dividend behind the 50 and repeat the process: 509 / 95

Moving on to step 3:
When dividing 509 by 95, we get 5 with a remainder of 34.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 475 from 509 and we're left with 34.
Bring next digit (2) of the dividend behind the 34 and repeat the process: 342 / 95

Going ahead to step 4:
95 can be fit into 342 3 times, resulting in a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
If we subtract 285 from 342, we get 57.
Take the next digit (1) from the dividend and append it to 57, then repeat: 571 / 95

On to step 5:
When dividing 571 by 95, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 536.0
Subtracting 570 from 571 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 95

On to step 6:
If we divide 13 by 95, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 5360.0
If we take 0 away from 13, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
If we divide 130 by 95, we get 1 and a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 5360.1
If we take 95 away from 130, 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 8:
The number 95 fits into 350 3 times, leaving a remainder of 65.
The number 3 becomes the next digit in our result. 
Result so far: 5360.13
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.

Moving on to step 9:
The number 95 fits into 650 6 times, leaving a remainder of 80.
Write down 6 as next digit of the result. 
Result so far: 5360.136
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.

Step 10:
If we divide 800 by 95, we get 8 and a remainder of 40.
The next digit of our result is 8. 
Result so far: 5360.1368
If we subtract 760 from 800, 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 11:
95 goes into 400 4 times with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 5360.13684
Subtract 380 from 400 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
95 goes into 200 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 5360.136842
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.

On to step 13:
95 can be fit into 100 1 times, resulting in a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 5360.1368421
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
If we divide 50 by 95, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 5360.1368421
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 5360.1368421 with a balance of 5e-08.