We're dividing 506975 by 91 
We want to figure out the number of times 506975 can be divided by 91.

Let's proceed to step 1:
91 can be fit into 5 0 times, resulting in 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:
The number 91 fits into 50 0 times, leaving 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.
Append the next digit (6) from the dividend to 50 and continue with: 506 / 91

Let's proceed to step 3:
If we divide 506 by 91, we get 5 and a remainder of 51.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 51 after subtracting 455 from 506.
Bring next digit (9) of the dividend behind the 51 and repeat the process: 519 / 91

Step 4:
The number 91 fits into 519 5 times, leaving a remainder of 64.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
The remainder is 64 after subtracting 455 from 519.
Fetch the next digit (7) from the dividend, attach it to 64 and continue: 647 / 91

Advancing to step 5:
The number 91 fits into 647 7 times, leaving a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 557.0
The remainder is 10 after subtracting 637 from 647.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 91

Moving on to step 6:
If we divide 105 by 91, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 5571.0
If we take 91 away from 105, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
If we divide 140 by 91, we get 1 and a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 5571.1
Deduct 91 from 140 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 8:
When dividing 490 by 91, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 5571.15
Subtract 455 from 490 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
When dividing 350 by 91, we get 3 with a remainder of 77.
Record the quotient 3 as the next digit in the result. 
Result so far: 5571.153
If we subtract 273 from 350, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 10:
When dividing 770 by 91, we get 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 5571.1538
Subtracting 728 from 770 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 11:
When dividing 420 by 91, we get 4 with a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 5571.15384
If we subtract 364 from 420, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 12:
If we divide 560 by 91, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 5571.153846
If we take 546 away from 560, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 13:
91 goes into 140 1 times with a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 5571.1538461
If we subtract 91 from 140, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 14:
When dividing 490 by 91, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 5571.15384615
Deduct 455 from 490 and we're left 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.

The final result is 5571.15384615 with a remainder of 3.5e-08.