We're dividing 21423024 by 638 
Our goal is to divide 21423024 by 638.

Advancing to step 1:
638 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 638

Let's proceed to step 2:
21 divided by 638 is 0 with a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Take the next digit (4) from the dividend and append it to 21, then repeat: 214 / 638

Step 3:
When dividing 214 by 638, we get 0 with a remainder of 214.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 214, we get 214.
Bring next digit (2) of the dividend behind the 214 and repeat the process: 2142 / 638

Advancing to step 4:
If we divide 2142 by 638, we get 3 and a remainder of 228.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 1914 from 2142 to get 228.
Fetch the next digit (3) from the dividend, attach it to 228 and continue: 2283 / 638

Moving on to step 5:
638 can be fit into 2283 3 times, resulting in a remainder of 369.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
The remainder is 369 after subtracting 1914 from 2283.
Append the next digit (0) from the dividend to 369 and continue with: 3690 / 638

Moving on to step 6:
The number 638 fits into 3690 5 times, leaving a remainder of 500.
The next digit of our result is 5. 
Result so far: 335.0
The remainder is 500 after subtracting 3190 from 3690.
Grab the next digit (2) from the dividend, add it to 500, then carry on: 5002 / 638

On to step 7:
638 can be fit into 5002 7 times, resulting in a remainder of 536.
Put 7 as the next digit of the answer. 
Result so far: 3357.0
If we take 4466 away from 5002, we end up with 536.
Bring next digit (4) of the dividend behind the 536 and repeat the process: 5364 / 638

Step 8:
When dividing 5364 by 638, we get 8 with a remainder of 260.
The number 8 becomes the next digit in our result. 
Result so far: 33578.0
If we subtract 5104 from 5364, we get 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Step 9:
2600 divided by 638 is 4 with a remainder of 48.
The next digit of our result is 4. 
Result so far: 33578.4
The remainder is 48 after subtracting 2552 from 2600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 10:
If we divide 480 by 638, we get 0 and a remainder of 480.
The number 0 becomes the next digit in our result. 
Result so far: 33578.4
The remainder is 480 after subtracting 0 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Step 11:
When dividing 4800 by 638, we get 7 with a remainder of 334.
Put 7 as the next digit of the answer. 
Result so far: 33578.407
Deduct 4466 from 4800 and we're left with 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

On to step 12:
When dividing 3340 by 638, we get 5 with a remainder of 150.
The number 5 becomes the next digit in our result. 
Result so far: 33578.4075
Subtracting 3190 from 3340 leaves us with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Moving on to step 13:
638 can be fit into 1500 2 times, resulting in a remainder of 224.
The number 2 becomes the next digit in our result. 
Result so far: 33578.40752
Subtract 1276 from 1500 to get 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Step 14:
638 can be fit into 2240 3 times, resulting in a remainder of 326.
The number 3 becomes the next digit in our result. 
Result so far: 33578.407523
The remainder is 326 after subtracting 1914 from 2240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

On to step 15:
638 goes into 3260 5 times with a remainder of 70.
The next digit of our result is 5. 
Result so far: 33578.4075235
The remainder is 70 after subtracting 3190 from 3260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 16:
If we divide 700 by 638, we get 1 and a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 33578.40752351
Deduct 638 from 700 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The final outcome is 33578.40752351, with a leftover of 6.2e-08.