We divide 14116 by 38
We want to figure out the number of times 14116 can be divided by 38.

Moving on to step 1:
If we divide 1 by 38, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 38

Moving on to step 2:
38 can be fit into 14 0 times, resulting in a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (1) from the dividend to 14 and continue with: 141 / 38

Let's proceed to step 3:
The number 38 fits into 141 3 times, leaving a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 114 away from 141, we end up with 27.
Bring next digit (1) of the dividend behind the 27 and repeat the process: 271 / 38

Advancing to step 4:
38 goes into 271 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
Subtract 266 from 271 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 38

Step 5:
When dividing 56 by 38, we get 1 with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 371.0
If we subtract 38 from 56, we get 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 6:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 371.4
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.

On to step 7:
When dividing 280 by 38, we get 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 371.47
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.

On to step 8:
140 divided by 38 is 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 371.473
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
When dividing 260 by 38, we get 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 371.4736
Subtract 228 from 260 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 10:
If we divide 320 by 38, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 371.47368
If we take 304 away from 320, we end up 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.

On to step 11:
When dividing 160 by 38, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 371.473684
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.

Advancing to step 12:
When dividing 80 by 38, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 371.4736842
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.

Going ahead to step 13:
38 goes into 40 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 371.47368421
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.

The final result is 371.47368421 with a remainder of 2e-09.