We look at the division of 251400 by 38 
Our goal is to divide 251400 by 38.

On to step 1:
The number 38 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 38

Going ahead to step 2:
When dividing 25 by 38, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 38

Let's proceed to step 3:
38 goes into 251 6 times with a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 23 after subtracting 228 from 251.
Take the next digit (4) from the dividend and append it to 23, then repeat: 234 / 38

Advancing to step 4:
When dividing 234 by 38, we get 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 66.0
If we take 228 away from 234, we end up with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 38

Going ahead to step 5:
When dividing 60 by 38, we get 1 with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 661.0
Subtracting 38 from 60 leaves us with 22.
Take the next digit (0) from the dividend and append it to 22, then repeat: 220 / 38

Step 6:
When dividing 220 by 38, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 6615.0
Deduct 190 from 220 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
If we divide 300 by 38, we get 7 and a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 6615.7
Subtracting 266 from 300 leaves us 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.

Let's proceed to step 8:
340 divided by 38 is 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 6615.78
The remainder is 36 after subtracting 304 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 9:
When dividing 360 by 38, we get 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 6615.789
The remainder is 18 after subtracting 342 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
38 can be fit into 180 4 times, resulting in a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 6615.7894
Subtracting 152 from 180 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
38 goes into 280 7 times with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 6615.78947
Deduct 266 from 280 and we're left 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.

Going ahead to step 12:
38 can be fit into 140 3 times, resulting in a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 6615.789473
Subtract 114 from 140 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 13:
38 goes into 260 6 times with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 6615.7894736
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.

Advancing to step 14:
If we divide 320 by 38, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 6615.78947368
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.

The quotient of the division is 6615.78947368, and the remainder is 1.6e-08.