509905 ÷ 61 
Our goal is to divide 509905 by 61.

Advancing to step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 61

On to step 2:
50 divided by 61 is 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Fetch the next digit (9) from the dividend, attach it to 50 and continue: 509 / 61

Moving on to step 3:
509 divided by 61 is 8 with a remainder of 21.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 488 from 509 to get 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 61

Going ahead to step 4:
If we divide 219 by 61, we get 3 and a remainder of 36.
Use 3 as the next digit of our solution. 
Result so far: 83.0
If we take 183 away from 219, we end up with 36.
Fetch the next digit (0) from the dividend, attach it to 36 and continue: 360 / 61

On to step 5:
360 divided by 61 is 5 with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 835.0
Deduct 305 from 360 and we're left with 55.
Fetch the next digit (5) from the dividend, attach it to 55 and continue: 555 / 61

Moving on to step 6:
When dividing 555 by 61, we get 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 8359.0
The remainder is 6 after subtracting 549 from 555.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
If we divide 60 by 61, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 8359.0
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 8:
61 goes into 600 9 times with a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 8359.09
If we subtract 549 from 600, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 9:
The number 61 fits into 510 8 times, leaving a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 8359.098
Subtracting 488 from 510 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
When dividing 220 by 61, we get 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 8359.0983
Subtracting 183 from 220 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 11:
370 divided by 61 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8359.09836
Subtracting 366 from 370 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
40 divided by 61 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 8359.09836
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
400 divided by 61 is 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 8359.0983606
If we subtract 366 from 400, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 14:
When dividing 340 by 61, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 8359.09836065
If we take 305 away from 340, we end up 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.

Our division results in 8359.09836065 with a remaining 3.5e-08.