We're dividing 513977 by 20 
Our goal is to divide 513977 by 20.

Moving on to step 1:
If we divide 5 by 20, 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.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 20

Moving on to step 2:
When dividing 51 by 20, we get 2 with a remainder of 11.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 11 after subtracting 40 from 51.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 20

Advancing to step 3:
20 goes into 113 5 times with a remainder of 13.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtract 100 from 113 to get 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 20

Step 4:
When dividing 139 by 20, we get 6 with a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 256.0
Subtracting 120 from 139 leaves us with 19.
Take the next digit (7) from the dividend and append it to 19, then repeat: 197 / 20

Advancing to step 5:
20 can be fit into 197 9 times, resulting in a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 2569.0
Subtracting 180 from 197 leaves us with 17.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 20

Moving on to step 6:
The number 20 fits into 177 8 times, leaving a remainder of 17.
The next digit of our result is 8. 
Result so far: 25698.0
If we take 160 away from 177, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
When dividing 170 by 20, we get 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 25698.8
If we take 160 away from 170, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 20, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 25698.85
Subtracting 100 from 100 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.

On to step 9:
20 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 25698.85
If we subtract 0 from 0, 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.

Let's proceed to step 10:
20 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 25698.85
If we subtract 0 from 0, 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.

The quotient of the division is 25698.85, and the remainder is 0.0.