We look at the division of 271766 by 38 
We want to figure out the number of times 271766 can be divided by 38.

Moving on to step 1:
If we divide 2 by 38, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 38

Going ahead to step 2:
The number 38 fits into 27 0 times, leaving a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 27 leaves us with 27.
Append the next digit (1) from the dividend to 27 and continue with: 271 / 38

Moving on to step 3:
If we divide 271 by 38, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 266 away from 271, we end up with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 38

Moving on to step 4:
38 goes into 57 1 times with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
If we take 38 away from 57, we end up with 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 38

On to step 5:
If we divide 196 by 38, we get 5 and a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 715.0
The remainder is 6 after subtracting 190 from 196.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 38

On to step 6:
If we divide 66 by 38, we get 1 and a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 7151.0
Subtracting 38 from 66 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 7:
When dividing 280 by 38, we get 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 7151.7
If we subtract 266 from 280, we 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.

Going ahead to step 8:
If we divide 140 by 38, we get 3 and a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 7151.73
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.

Let's proceed to step 9:
If we divide 260 by 38, we get 6 and a remainder of 32.
The next digit of our result is 6. 
Result so far: 7151.736
The remainder is 32 after subtracting 228 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
When dividing 320 by 38, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 7151.7368
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.

On to step 11:
If we divide 160 by 38, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 7151.73684
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.

Going ahead to step 12:
If we divide 80 by 38, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 7151.736842
Deduct 76 from 80 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
40 divided by 38 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 7151.7368421
If we take 38 away from 40, we end up 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.

Step 14:
If we divide 20 by 38, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 7151.7368421
Subtracting 0 from 20 leaves us 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.

The quotient of the division is 7151.7368421, and the remainder is 2e-08.