We're dividing 126338 by 21 
Let's see how many times 21 fits into 126338.

Moving on to step 1:
1 divided by 21 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 21

Going ahead to step 2:
When dividing 12 by 21, we get 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 21

Step 3:
21 goes into 126 6 times with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 0 after subtracting 126 from 126.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 21

Step 4:
3 divided by 21 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 60.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 21

Step 5:
33 divided by 21 is 1 with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 601.0
If we subtract 21 from 33, we get 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 21

On to step 6:
21 can be fit into 128 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 6016.0
Subtract 126 from 128 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
21 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 6016.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
200 divided by 21 is 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 6016.09
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
The number 21 fits into 110 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 6016.095
Subtracting 105 from 110 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
When dividing 50 by 21, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 6016.0952
If we subtract 42 from 50, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
21 goes into 80 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 6016.09523
Deduct 63 from 80 and we're left 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.

Let's proceed to step 12:
170 divided by 21 is 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 6016.095238
Deduct 168 from 170 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
20 divided by 21 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 6016.095238
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
The number 21 fits into 200 9 times, leaving a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 6016.09523809
If we subtract 189 from 200, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 6016.09523809, and the remainder is 1.1e-08.