We look at the division of 509221 by 91 
We want to divide 509221 by 91.

Advancing to step 1:
91 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 91

Advancing to step 2:
91 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Bring next digit (9) of the dividend behind the 50 and repeat the process: 509 / 91

Step 3:
When dividing 509 by 91, we get 5 with a remainder of 54.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 455 from 509, we get 54.
Take the next digit (2) from the dividend and append it to 54, then repeat: 542 / 91

Advancing to step 4:
The number 91 fits into 542 5 times, leaving a remainder of 87.
Write down 5 as next digit of the result. 
Result so far: 55.0
If we subtract 455 from 542, we get 87.
Include the next digit (2) from the dividend after 87, then repeat: 872 / 91

Going ahead to step 5:
When dividing 872 by 91, we get 9 with a remainder of 53.
Record the quotient 9 as the next digit in the result. 
Result so far: 559.0
Deduct 819 from 872 and we're left with 53.
Bring next digit (1) of the dividend behind the 53 and repeat the process: 531 / 91

Advancing to step 6:
91 can be fit into 531 5 times, resulting in a remainder of 76.
Record the quotient 5 as the next digit in the result. 
Result so far: 5595.0
If we subtract 455 from 531, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 7:
91 can be fit into 760 8 times, resulting in a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 5595.8
Deduct 728 from 760 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
When dividing 320 by 91, we get 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 5595.83
Deduct 273 from 320 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 9:
91 goes into 470 5 times with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 5595.835
The remainder is 15 after subtracting 455 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 10:
When dividing 150 by 91, we get 1 with a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 5595.8351
Subtracting 91 from 150 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 11:
The number 91 fits into 590 6 times, leaving a remainder of 44.
The next digit of our result is 6. 
Result so far: 5595.83516
If we take 546 away from 590, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 12:
If we divide 440 by 91, we get 4 and a remainder of 76.
Put 4 as the next digit of the answer. 
Result so far: 5595.835164
Subtract 364 from 440 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 13:
If we divide 760 by 91, we get 8 and a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 5595.8351648
If we take 728 away from 760, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
The number 91 fits into 320 3 times, leaving a remainder of 47.
The next digit of our result is 3. 
Result so far: 5595.83516483
If we subtract 273 from 320, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Our division results in 5595.83516483 with a remaining 4.7e-08.