We're dividing 256002 by 38 
We want to divide 256002 by 38.

Let's proceed to step 1:
When dividing 2 by 38, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 38

On to step 2:
The number 38 fits into 25 0 times, leaving a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Take the next digit (6) from the dividend and append it to 25, then repeat: 256 / 38

Going ahead to step 3:
If we divide 256 by 38, we get 6 and a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 228 from 256 leaves us with 28.
Take the next digit (0) from the dividend and append it to 28, then repeat: 280 / 38

Step 4:
When dividing 280 by 38, we get 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
Subtracting 266 from 280 leaves us with 14.
Grab the next digit (0) from the dividend, add it to 14, then carry on: 140 / 38

Going ahead to step 5:
38 can be fit into 140 3 times, resulting in a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 673.0
The remainder is 26 after subtracting 114 from 140.
Append the next digit (2) from the dividend to 26 and continue with: 262 / 38

Advancing to step 6:
If we divide 262 by 38, we get 6 and a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 6736.0
Deduct 228 from 262 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.

On to step 7:
The number 38 fits into 340 8 times, leaving a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 6736.8
Subtracting 304 from 340 leaves us 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.

Let's proceed to step 8:
The number 38 fits into 360 9 times, leaving a remainder of 18.
The next digit of our result is 9. 
Result so far: 6736.89
Deduct 342 from 360 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
38 goes into 180 4 times with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 6736.894
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.

Going ahead to step 10:
38 can be fit into 280 7 times, resulting in a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 6736.8947
Subtract 266 from 280 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
If we divide 140 by 38, we get 3 and a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 6736.89473
Subtracting 114 from 140 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 12:
38 goes into 260 6 times with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 6736.894736
If we take 228 away from 260, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 13:
320 divided by 38 is 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 6736.8947368
Subtract 304 from 320 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 6736.89473684
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 6736.89473684, and the remainder is 8e-09.