Let's divide 516628 by 61
We want to divide 516628 by 61.

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 take 0 away from 5, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 61

Going ahead to step 2:
If we divide 51 by 61, we get 0 and a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Include the next digit (6) from the dividend after 51, then repeat: 516 / 61

Let's proceed to step 3:
If we divide 516 by 61, we get 8 and a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 488 from 516 and we're left with 28.
Grab the next digit (6) from the dividend, add it to 28, then carry on: 286 / 61

Going ahead to step 4:
286 divided by 61 is 4 with a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 84.0
If we subtract 244 from 286, we get 42.
Include the next digit (2) from the dividend after 42, then repeat: 422 / 61

Step 5:
If we divide 422 by 61, we get 6 and a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 846.0
If we subtract 366 from 422, we get 56.
Grab the next digit (8) from the dividend, add it to 56, then carry on: 568 / 61

Going ahead to step 6:
If we divide 568 by 61, we get 9 and a remainder of 19.
The next digit of our result is 9. 
Result so far: 8469.0
Deduct 549 from 568 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
61 can be fit into 190 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 8469.3
If we subtract 183 from 190, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
The number 61 fits into 70 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 8469.31
If we subtract 61 from 70, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
If we divide 90 by 61, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 8469.311
Subtract 61 from 90 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 8469.311 with a remainder of 0.0029.