We're dividing 532638 by 21 
Let's see how many times 21 fits into 532638.

Going ahead to step 1:
The number 21 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 21

Going ahead to step 2:
21 goes into 53 2 times with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 11 after subtracting 42 from 53.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 21

On to step 3:
When dividing 112 by 21, we get 5 with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Deduct 105 from 112 and we're left with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 21

Advancing to step 4:
The number 21 fits into 76 3 times, leaving a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 253.0
The remainder is 13 after subtracting 63 from 76.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 21

On to step 5:
133 divided by 21 is 6 with a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 2536.0
Subtracting 126 from 133 leaves us with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 21

Moving on to step 6:
21 goes into 78 3 times with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 25363.0
Deduct 63 from 78 and we're left 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.

Step 7:
When dividing 150 by 21, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 25363.7
If we take 147 away from 150, we end up 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.

Advancing to step 8:
When dividing 30 by 21, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 25363.71
If we take 21 away from 30, we end up 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:
If we divide 90 by 21, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 25363.714
Deduct 84 from 90 and we're left 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.

Step 10:
21 goes into 60 2 times with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 25363.7142
The remainder is 18 after subtracting 42 from 60.
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 can be fit into 180 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 25363.71428
Deduct 168 from 180 and we're left 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.

Moving on to step 12:
21 can be fit into 120 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 25363.714285
Deduct 105 from 120 and we're left 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.

Advancing to step 13:
The number 21 fits into 150 7 times, leaving a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 25363.7142857
Deduct 147 from 150 and we're left 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 14:
30 divided by 21 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 25363.71428571
If we subtract 21 from 30, we 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 25363.71428571 with a remaining 9e-09.