We look at the division of 516657 by 1 
We want to figure out the number of times 516657 can be divided by 1.

Going ahead to step 1:
The number 1 fits into 5 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 5 from 5, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 1

Going ahead to step 2:
1 can be fit into 1 1 times, resulting in a remainder of 0.
The next digit of our result is 1. 
Result so far: 51.0
Deduct 1 from 1 and we're left with 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 1

Moving on to step 3:
6 divided by 1 is 6 with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 516.0
Subtract 6 from 6 to get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 1

Step 4:
1 goes into 6 6 times with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 5166.0
The remainder is 0 after subtracting 6 from 6.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 1

Step 5:
5 divided by 1 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 51665.0
If we take 5 away from 5, we end up with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 1

On to step 6:
1 can be fit into 7 7 times, resulting in a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 516657.0
If we subtract 7 from 7, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
The number 1 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 516657.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
0 divided by 1 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 516657.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 516657.0, and the remainder is 0.0.