We look at the division of 566557 by 91 
Let's see how many times 91 fits into 566557.

Step 1:
5 divided by 91 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 91

Step 2:
56 divided by 91 is 0 with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Grab the next digit (6) from the dividend, add it to 56, then carry on: 566 / 91

Moving on to step 3:
When dividing 566 by 91, we get 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 546 from 566 and we're left with 20.
Include the next digit (5) from the dividend after 20, then repeat: 205 / 91

Moving on to step 4:
205 divided by 91 is 2 with a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
If we subtract 182 from 205, we get 23.
Grab the next digit (5) from the dividend, add it to 23, then carry on: 235 / 91

Advancing to step 5:
When dividing 235 by 91, we get 2 with a remainder of 53.
The next digit of our result is 2. 
Result so far: 622.0
Subtract 182 from 235 to get 53.
Bring next digit (7) of the dividend behind the 53 and repeat the process: 537 / 91

On to step 6:
91 can be fit into 537 5 times, resulting in a remainder of 82.
Use 5 as the next digit of our solution. 
Result so far: 6225.0
Subtracting 455 from 537 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 7:
The number 91 fits into 820 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 6225.9
Deduct 819 from 820 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
When dividing 10 by 91, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6225.9
If we take 0 away from 10, 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 9:
When dividing 100 by 91, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 6225.901
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
91 goes into 90 0 times with a remainder of 90.
Write down 0 as next digit of the result. 
Result so far: 6225.901
The remainder is 90 after subtracting 0 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 11:
900 divided by 91 is 9 with a remainder of 81.
Use 9 as the next digit of our solution. 
Result so far: 6225.90109
If we subtract 819 from 900, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Moving on to step 12:
The number 91 fits into 810 8 times, leaving a remainder of 82.
The number 8 becomes the next digit in our result. 
Result so far: 6225.901098
If we take 728 away from 810, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 13:
91 can be fit into 820 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 6225.9010989
Subtract 819 from 820 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 14:
When dividing 10 by 91, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 6225.9010989
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 6225.9010989, and the remainder is 1e-08.