We look at the division of 251934 by 38 
We want to divide 251934 by 38.

On to step 1:
When dividing 2 by 38, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 38

On to step 2:
When dividing 25 by 38, we get 0 with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 38

Going ahead to step 3:
If we divide 251 by 38, we get 6 and a remainder of 23.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 228 from 251, we get 23.
Append the next digit (9) from the dividend to 23 and continue with: 239 / 38

Advancing to step 4:
If we divide 239 by 38, we get 6 and a remainder of 11.
Write down 6 as next digit of the result. 
Result so far: 66.0
If we subtract 228 from 239, we get 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 38

Moving on to step 5:
38 goes into 113 2 times with a remainder of 37.
The next digit of our result is 2. 
Result so far: 662.0
If we subtract 76 from 113, we get 37.
Grab the next digit (4) from the dividend, add it to 37, then carry on: 374 / 38

Step 6:
The number 38 fits into 374 9 times, leaving a remainder of 32.
Put 9 as the next digit of the answer. 
Result so far: 6629.0
Subtract 342 from 374 to 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.

Advancing to step 7:
320 divided by 38 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 6629.8
Subtracting 304 from 320 leaves us 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.

Advancing to step 8:
38 goes into 160 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 6629.84
Subtract 152 from 160 to 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.

Moving on to step 9:
38 goes into 80 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 6629.842
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
38 goes into 40 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 6629.8421
Subtracting 38 from 40 leaves us 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.

Going ahead to step 11:
20 divided by 38 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 6629.8421
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.

Moving on to step 12:
200 divided by 38 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 6629.842105
Subtracting 190 from 200 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
If we divide 100 by 38, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 6629.8421052
If we subtract 76 from 100, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 14:
The number 38 fits into 240 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 6629.84210526
Deduct 228 from 240 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.

The final result is 6629.84210526 with a remainder of 1.2e-08.