We look at the division of 205786 by 38 
We want to figure out the number of times 205786 can be divided by 38.

Moving on to step 1:
When dividing 2 by 38, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 38

Going ahead to step 2:
38 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 20 after subtracting 0 from 20.
Include the next digit (5) from the dividend after 20, then repeat: 205 / 38

Let's proceed to step 3:
When dividing 205 by 38, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 190 from 205 to get 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 38

Step 4:
The number 38 fits into 157 4 times, leaving a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
Subtracting 152 from 157 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 38

Let's proceed to step 5:
If we divide 58 by 38, we get 1 and a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 541.0
Deduct 38 from 58 and we're left with 20.
Bring next digit (6) of the dividend behind the 20 and repeat the process: 206 / 38

On to step 6:
206 divided by 38 is 5 with a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 5415.0
Subtract 190 from 206 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.

Moving on to step 7:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 5415.4
Subtracting 152 from 160 leaves us 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.

On to step 8:
80 divided by 38 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 5415.42
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
40 divided by 38 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 5415.421
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.

On to step 10:
38 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 5415.421
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5415.42105
Subtract 190 from 200 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
If we divide 100 by 38, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 5415.421052
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.

Let's proceed to step 13:
38 can be fit into 240 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 5415.4210526
Subtract 228 from 240 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 14:
38 goes into 120 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 5415.42105263
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.

Our division results in 5415.42105263 with a remaining 6e-09.