513997 divided by 21 
Our goal is to divide 513997 by 21.

Step 1:
When dividing 5 by 21, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 21

Going ahead to step 2:
When dividing 51 by 21, we get 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 42 from 51, we get 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 21

Advancing to step 3:
21 goes into 93 4 times with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 24.0
Subtract 84 from 93 to get 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 21

On to step 4:
21 goes into 99 4 times with a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 244.0
If we subtract 84 from 99, we get 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 21

Advancing to step 5:
159 divided by 21 is 7 with a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 2447.0
If we take 147 away from 159, we end up with 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 21

On to step 6:
21 can be fit into 127 6 times, resulting in a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 24476.0
Subtract 126 from 127 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
10 divided by 21 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 24476.0
Subtracting 0 from 10 leaves us 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.

Advancing to step 8:
The number 21 fits into 100 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 24476.04
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
21 goes into 160 7 times with a remainder of 13.
The next digit of our result is 7. 
Result so far: 24476.047
Deduct 147 from 160 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
When dividing 130 by 21, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 24476.0476
Subtracting 126 from 130 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
When dividing 40 by 21, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 24476.04761
The remainder is 19 after subtracting 21 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 12:
190 divided by 21 is 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 24476.047619
The remainder is 1 after subtracting 189 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 13:
When dividing 10 by 21, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 24476.047619
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
The number 21 fits into 100 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 24476.04761904
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 24476.04761904 with a remainder of 1.6e-08.