75137 divided by 38 
We want to figure out the number of times 75137 can be divided by 38.

Let's proceed to step 1:
7 divided by 38 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 38

Let's proceed to step 2:
38 can be fit into 75 1 times, resulting in a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 37 after subtracting 38 from 75.
Fetch the next digit (1) from the dividend, attach it to 37 and continue: 371 / 38

Step 3:
If we divide 371 by 38, we get 9 and a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Subtracting 342 from 371 leaves us with 29.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 38

Step 4:
38 can be fit into 293 7 times, resulting in a remainder of 27.
The next digit of our result is 7. 
Result so far: 197.0
If we subtract 266 from 293, we get 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 38

Moving on to step 5:
If we divide 277 by 38, we get 7 and a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 1977.0
If we subtract 266 from 277, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 6:
38 can be fit into 110 2 times, resulting in a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 1977.2
Subtracting 76 from 110 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 7:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 1977.28
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 8:
38 goes into 360 9 times with a remainder of 18.
The next digit of our result is 9. 
Result so far: 1977.289
Subtract 342 from 360 to 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 9:
When dividing 180 by 38, we get 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 1977.2894
Subtract 152 from 180 to 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.

Let's proceed to step 10:
280 divided by 38 is 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 1977.28947
If we take 266 away from 280, we end up 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.

Step 11:
When dividing 140 by 38, we get 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 1977.289473
If we subtract 114 from 140, we 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.

Let's proceed to step 12:
260 divided by 38 is 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 1977.2894736
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.

On to step 13:
38 can be fit into 320 8 times, resulting in a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 1977.28947368
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 final result is 1977.28947368 with a remainder of 1.6e-08.