516977 divided by 10 
We're looking to find how many times 10 goes into 516977.

Step 1:
When dividing 5 by 10, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 10

Step 2:
10 can be fit into 51 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 50 from 51 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 10

Going ahead to step 3:
10 can be fit into 16 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
If we subtract 10 from 16, we get 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 10

Going ahead to step 4:
When dividing 69 by 10, we get 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 516.0
Subtracting 60 from 69 leaves us with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 10

Step 5:
97 divided by 10 is 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 5169.0
Subtracting 90 from 97 leaves us with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 10

Let's proceed to step 6:
The number 10 fits into 77 7 times, leaving a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 51697.0
Subtract 70 from 77 to 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.

On to step 7:
The number 10 fits into 70 7 times, leaving a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 51697.7
Deduct 70 from 70 and we're left with 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:
When dividing 0 by 10, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 51697.7
Deduct 0 from 0 and we're left with 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 9:
10 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 51697.7
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 51697.7 with a balance of 0.0.