Let's divide 501709 by 91
We're looking to find how many times 91 goes into 501709.

On to step 1:
5 divided by 91 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 91

Let's proceed to step 2:
91 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Take the next digit (1) from the dividend and append it to 50, then repeat: 501 / 91

On to step 3:
If we divide 501 by 91, we get 5 and a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 455 from 501 leaves us with 46.
Append the next digit (7) from the dividend to 46 and continue with: 467 / 91

On to step 4:
467 divided by 91 is 5 with a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
Subtracting 455 from 467 leaves us with 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 91

Going ahead to step 5:
91 can be fit into 120 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 551.0
If we subtract 91 from 120, we get 29.
Fetch the next digit (9) from the dividend, attach it to 29 and continue: 299 / 91

Step 6:
When dividing 299 by 91, we get 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 5513.0
If we take 273 away from 299, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
The number 91 fits into 260 2 times, leaving a remainder of 78.
The next digit of our result is 2. 
Result so far: 5513.2
Subtracting 182 from 260 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 8:
91 can be fit into 780 8 times, resulting in a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 5513.28
If we take 728 away from 780, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 9:
520 divided by 91 is 5 with a remainder of 65.
The next digit of our result is 5. 
Result so far: 5513.285
Subtract 455 from 520 to 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.

Let's proceed to step 10:
When dividing 650 by 91, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 5513.2857
Subtracting 637 from 650 leaves us 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.

Advancing to step 11:
The number 91 fits into 130 1 times, leaving a remainder of 39.
The next digit of our result is 1. 
Result so far: 5513.28571
Deduct 91 from 130 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 12:
91 can be fit into 390 4 times, resulting in a remainder of 26.
The next digit of our result is 4. 
Result so far: 5513.285714
If we take 364 away from 390, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 13:
91 goes into 260 2 times with a remainder of 78.
Write down 2 as next digit of the result. 
Result so far: 5513.2857142
Subtracting 182 from 260 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 14:
91 can be fit into 780 8 times, resulting in a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 5513.28571428
Deduct 728 from 780 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 5513.28571428 with a balance of 5.2e-08.