Let's divide 505666 by 91
We want to divide 505666 by 91.

Going ahead to step 1:
When dividing 5 by 91, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 91

Step 2:
When dividing 50 by 91, we get 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Append the next digit (5) from the dividend to 50 and continue with: 505 / 91

Step 3:
505 divided by 91 is 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 455 from 505 leaves us with 50.
Append the next digit (6) from the dividend to 50 and continue with: 506 / 91

Moving on to step 4:
91 goes into 506 5 times with a remainder of 51.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Subtracting 455 from 506 leaves us with 51.
Append the next digit (6) from the dividend to 51 and continue with: 516 / 91

Let's proceed to step 5:
516 divided by 91 is 5 with a remainder of 61.
Put 5 as the next digit of the answer. 
Result so far: 555.0
The remainder is 61 after subtracting 455 from 516.
Grab the next digit (6) from the dividend, add it to 61, then carry on: 616 / 91

Moving on to step 6:
91 can be fit into 616 6 times, resulting in a remainder of 70.
Write down 6 as next digit of the result. 
Result so far: 5556.0
The remainder is 70 after subtracting 546 from 616.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 7:
If we divide 700 by 91, we get 7 and a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 5556.7
Subtract 637 from 700 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 8:
If we divide 630 by 91, we get 6 and a remainder of 84.
The next digit of our result is 6. 
Result so far: 5556.76
Subtract 546 from 630 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 9:
91 can be fit into 840 9 times, resulting in a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 5556.769
Deduct 819 from 840 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 10:
91 can be fit into 210 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 5556.7692
Subtracting 182 from 210 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
When dividing 280 by 91, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 5556.76923
If we take 273 away from 280, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
When dividing 70 by 91, we get 0 with a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 5556.76923
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
91 goes into 700 7 times with a remainder of 63.
The number 7 becomes the next digit in our result. 
Result so far: 5556.7692307
The remainder is 63 after subtracting 637 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 14:
91 can be fit into 630 6 times, resulting in a remainder of 84.
Use 6 as the next digit of our solution. 
Result so far: 5556.76923076
If we subtract 546 from 630, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The quotient of the division is 5556.76923076, and the remainder is 8.4e-08.