We're dividing 513576 by 10 
We want to divide 513576 by 10.

Let's proceed to step 1:
The number 10 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 10

Let's proceed to step 2:
10 can be fit into 51 5 times, resulting in a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 50 from 51 to get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 10

Moving on to step 3:
When dividing 13 by 10, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 51.0
The remainder is 3 after subtracting 10 from 13.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 10

Going ahead to step 4:
10 can be fit into 35 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 513.0
Deduct 30 from 35 and we're left with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 10

Let's proceed to step 5:
57 divided by 10 is 5 with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5135.0
If we take 50 away from 57, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 10

Step 6:
When dividing 76 by 10, we get 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 51357.0
If we subtract 70 from 76, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
When dividing 60 by 10, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 51357.6
If we take 60 away from 60, we end up 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.

Moving on to step 8:
10 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 51357.6
If we take 0 away from 0, we end up 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.

Moving on to step 9:
0 divided by 10 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 51357.6
If we take 0 away from 0, we end up 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 51357.6 with a balance of 0.0.