Let's divide 514557 by 21
We want to divide 514557 by 21.

On to step 1:
5 divided by 21 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 21

Advancing to step 2:
If we divide 51 by 21, we get 2 and a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 42 from 51 to get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 21

Advancing to step 3:
If we divide 94 by 21, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
If we take 84 away from 94, we end up with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 21

Advancing to step 4:
21 can be fit into 105 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 245.0
If we take 105 away from 105, we end up with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 21

Step 5:
21 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 2450.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 21

On to step 6:
57 divided by 21 is 2 with a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 24502.0
If we take 42 away from 57, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
150 divided by 21 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 24502.7
Subtracting 147 from 150 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
30 divided by 21 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 24502.71
Subtracting 21 from 30 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
21 can be fit into 90 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 24502.714
Subtracting 84 from 90 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
If we divide 60 by 21, we get 2 and a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 24502.7142
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
21 goes into 180 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 24502.71428
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
The number 21 fits into 120 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 24502.714285
If we take 105 away from 120, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
If we divide 150 by 21, we get 7 and a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 24502.7142857
If we subtract 147 from 150, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
If we divide 30 by 21, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 24502.71428571
Subtract 21 from 30 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 24502.71428571 with a remaining 9e-09.