We look at the division of 516663 by 61 
Let's see how many times 61 fits into 516663.

Let's proceed 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
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 61

Advancing to step 2:
If we divide 51 by 61, we get 0 and a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Fetch the next digit (6) from the dividend, attach it to 51 and continue: 516 / 61

Advancing to step 3:
61 goes into 516 8 times with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 488 from 516 to get 28.
Include the next digit (6) from the dividend after 28, then repeat: 286 / 61

Advancing to step 4:
If we divide 286 by 61, we get 4 and a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 84.0
Deduct 244 from 286 and we're left with 42.
Include the next digit (6) from the dividend after 42, then repeat: 426 / 61

Advancing to step 5:
The number 61 fits into 426 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 846.0
The remainder is 60 after subtracting 366 from 426.
Grab the next digit (3) from the dividend, add it to 60, then carry on: 603 / 61

Advancing to step 6:
When dividing 603 by 61, we get 9 with a remainder of 54.
The number 9 becomes the next digit in our result. 
Result so far: 8469.0
The remainder is 54 after subtracting 549 from 603.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 7:
When dividing 540 by 61, we get 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 8469.8
The remainder is 52 after subtracting 488 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
The number 61 fits into 520 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 8469.88
The remainder is 32 after subtracting 488 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 8469.88 with a balance of 0.032.