518177 ÷ 61 
We want to figure out the number of times 518177 can be divided by 61.

Advancing to step 1:
61 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 61

Moving on to step 2:
61 goes into 51 0 times with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Take the next digit (8) from the dividend and append it to 51, then repeat: 518 / 61

On to step 3:
When dividing 518 by 61, we get 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 488 from 518, we get 30.
Include the next digit (1) from the dividend after 30, then repeat: 301 / 61

On to step 4:
When dividing 301 by 61, we get 4 with a remainder of 57.
The next digit of our result is 4. 
Result so far: 84.0
Subtract 244 from 301 to get 57.
Append the next digit (7) from the dividend to 57 and continue with: 577 / 61

Moving on to step 5:
61 can be fit into 577 9 times, resulting in a remainder of 28.
Record the quotient 9 as the next digit in the result. 
Result so far: 849.0
If we subtract 549 from 577, we get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 61

On to step 6:
If we divide 287 by 61, we get 4 and a remainder of 43.
Record the quotient 4 as the next digit in the result. 
Result so far: 8494.0
If we take 244 away from 287, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 7:
61 goes into 430 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 8494.7
Deduct 427 from 430 and we're left 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.

Step 8:
When dividing 30 by 61, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 8494.7
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
61 goes into 300 4 times with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 8494.704
If we take 244 away from 300, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 10:
61 goes into 560 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 8494.7049
If we subtract 549 from 560, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 11:
110 divided by 61 is 1 with a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 8494.70491
The remainder is 49 after subtracting 61 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 12:
If we divide 490 by 61, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8494.704918
Subtracting 488 from 490 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
20 divided by 61 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8494.704918
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 8494.70491803
Subtracting 183 from 200 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 8494.70491803 with a balance of 1.7e-08.