We look at the division of 21937 by 38 
We're looking to find how many times 38 goes into 21937.

Moving on to step 1:
38 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 38

Let's proceed to step 2:
The number 38 fits into 21 0 times, leaving a remainder of 21.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Grab the next digit (9) from the dividend, add it to 21, then carry on: 219 / 38

Let's proceed to step 3:
When dividing 219 by 38, we get 5 with a remainder of 29.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 29 after subtracting 190 from 219.
Append the next digit (3) from the dividend to 29 and continue with: 293 / 38

Advancing to step 4:
38 goes into 293 7 times with a remainder of 27.
Write down 7 as next digit of the result. 
Result so far: 57.0
Deduct 266 from 293 and we're left with 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 38

On to step 5:
If we divide 277 by 38, we get 7 and a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 577.0
If we take 266 away from 277, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 6:
The number 38 fits into 110 2 times, leaving a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 577.2
Deduct 76 from 110 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
340 divided by 38 is 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 577.28
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 8:
The number 38 fits into 360 9 times, leaving a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 577.289
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
The number 38 fits into 180 4 times, leaving a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 577.2894
If we subtract 152 from 180, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
280 divided by 38 is 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 577.28947
Subtracting 266 from 280 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 11:
The number 38 fits into 140 3 times, leaving a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 577.289473
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 12:
When dividing 260 by 38, we get 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 577.2894736
If we subtract 228 from 260, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 13:
If we divide 320 by 38, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 577.28947368
If we take 304 away from 320, we end up 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.

Our division results in 577.28947368 with a remaining 1.6e-08.