We're dividing 506091 by 61 
We want to figure out the number of times 506091 can be divided by 61.

Going ahead to step 1:
If we divide 5 by 61, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 61

Going ahead to step 2:
If we divide 50 by 61, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Take the next digit (6) from the dividend and append it to 50, then repeat: 506 / 61

Let's proceed to step 3:
When dividing 506 by 61, we get 8 with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 488 away from 506, we end up with 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 61

Step 4:
61 goes into 180 2 times with a remainder of 58.
The next digit of our result is 2. 
Result so far: 82.0
Deduct 122 from 180 and we're left with 58.
Include the next digit (9) from the dividend after 58, then repeat: 589 / 61

Let's proceed to step 5:
If we divide 589 by 61, we get 9 and a remainder of 40.
The number 9 becomes the next digit in our result. 
Result so far: 829.0
If we subtract 549 from 589, we get 40.
Include the next digit (1) from the dividend after 40, then repeat: 401 / 61

Let's proceed to step 6:
61 can be fit into 401 6 times, resulting in a remainder of 35.
The number 6 becomes the next digit in our result. 
Result so far: 8296.0
Subtracting 366 from 401 leaves us 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.

Advancing to step 7:
61 goes into 350 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 8296.5
Subtracting 305 from 350 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
450 divided by 61 is 7 with a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 8296.57
Subtract 427 from 450 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 9:
61 can be fit into 230 3 times, resulting in a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 8296.573
Deduct 183 from 230 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.

On to step 10:
The number 61 fits into 470 7 times, leaving a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 8296.5737
Subtract 427 from 470 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 11:
61 can be fit into 430 7 times, resulting in a remainder of 3.
The next digit of our result is 7. 
Result so far: 8296.57377
Subtracting 427 from 430 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 8296.57377 and a remainder of 3e-06.