Let's divide 262186 by 38
We're looking to find how many times 38 goes into 262186.

Advancing to step 1:
2 divided by 38 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 38

Advancing to step 2:
26 divided by 38 is 0 with a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 38

Let's proceed to step 3:
38 goes into 262 6 times with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 228 from 262 and we're left with 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 38

Let's proceed to step 4:
38 can be fit into 341 8 times, resulting in a remainder of 37.
Write down 8 as next digit of the result. 
Result so far: 68.0
Subtracting 304 from 341 leaves us with 37.
Include the next digit (8) from the dividend after 37, then repeat: 378 / 38

Going ahead to step 5:
The number 38 fits into 378 9 times, leaving a remainder of 36.
The next digit of our result is 9. 
Result so far: 689.0
Subtracting 342 from 378 leaves us with 36.
Append the next digit (6) from the dividend to 36 and continue with: 366 / 38

Let's proceed to step 6:
366 divided by 38 is 9 with a remainder of 24.
The number 9 becomes the next digit in our result. 
Result so far: 6899.0
Subtracting 342 from 366 leaves us with 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 7:
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: 6899.6
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.

On to step 8:
If we divide 120 by 38, we get 3 and a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 6899.63
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.

Step 9:
38 can be fit into 60 1 times, resulting in a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 6899.631
If we take 38 away from 60, we end up with 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 10:
38 goes into 220 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 6899.6315
If we subtract 190 from 220, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
If we divide 300 by 38, we get 7 and a remainder of 34.
The next digit of our result is 7. 
Result so far: 6899.63157
Subtracting 266 from 300 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 12:
If we divide 340 by 38, we get 8 and a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 6899.631578
The remainder is 36 after subtracting 304 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
360 divided by 38 is 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 6899.6315789
If we take 342 away from 360, we end up 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 14:
When dividing 180 by 38, we get 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 6899.63157894
Deduct 152 from 180 and we're left 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.

The final result is 6899.63157894 with a remainder of 2.8e-08.