We're dividing 127111 by 38 
We want to divide 127111 by 38.

Going ahead to step 1:
38 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 38

Advancing to step 2:
12 divided by 38 is 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 38

On to step 3:
The number 38 fits into 127 3 times, leaving a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 114 from 127 leaves us with 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 38

Advancing to step 4:
131 divided by 38 is 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
If we take 114 away from 131, we end up with 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 38

Step 5:
If we divide 171 by 38, we get 4 and a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 334.0
If we take 152 away from 171, we end up with 19.
Fetch the next digit (1) from the dividend, attach it to 19 and continue: 191 / 38

Moving on to step 6:
38 goes into 191 5 times with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 3345.0
Subtract 190 from 191 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
38 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 3345.0
Deduct 0 from 10 and we're left 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.

Moving on to step 8:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 3345.02
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 9:
38 can be fit into 240 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 3345.026
Subtracting 228 from 240 leaves us 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.

Let's proceed to step 10:
38 goes into 120 3 times with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 3345.0263
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
The number 38 fits into 60 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 3345.02631
If we subtract 38 from 60, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 12:
When dividing 220 by 38, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 3345.026315
The remainder is 30 after subtracting 190 from 220.
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 13:
38 can be fit into 300 7 times, resulting in a remainder of 34.
The next digit of our result is 7. 
Result so far: 3345.0263157
If we take 266 away from 300, we end up 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 14:
340 divided by 38 is 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 3345.02631578
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.

The final outcome is 3345.02631578, with a leftover of 3.6e-08.