We look at the division of 605566 by 38 
We want to divide 605566 by 38.

Advancing to step 1:
38 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 38

Moving on to step 2:
If we divide 60 by 38, we get 1 and a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 38 from 60, we get 22.
Grab the next digit (5) from the dividend, add it to 22, then carry on: 225 / 38

Moving on to step 3:
When dividing 225 by 38, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 190 from 225 and we're left with 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 38

Let's proceed to step 4:
If we divide 355 by 38, we get 9 and a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 159.0
If we take 342 away from 355, we end up with 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 38

On to step 5:
38 goes into 136 3 times with a remainder of 22.
The next digit of our result is 3. 
Result so far: 1593.0
Deduct 114 from 136 and we're left with 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 38

Advancing to step 6:
When dividing 226 by 38, we get 5 with a remainder of 36.
Put 5 as the next digit of the answer. 
Result so far: 15935.0
Subtract 190 from 226 to 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.

Step 7:
360 divided by 38 is 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 15935.9
Deduct 342 from 360 and we're left 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.

Let's proceed to step 8:
If we divide 180 by 38, we get 4 and a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 15935.94
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.

Advancing to step 9:
When dividing 280 by 38, we get 7 with a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 15935.947
The remainder is 14 after subtracting 266 from 280.
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 10:
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: 15935.9473
Deduct 114 from 140 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 11:
38 goes into 260 6 times with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 15935.94736
If we subtract 228 from 260, we 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.

Moving on to step 12:
38 goes into 320 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 15935.947368
Deduct 304 from 320 and we're left 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.

Going ahead to step 13:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 15935.9473684
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.

Moving on to step 14:
38 goes into 80 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 15935.94736842
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.

The final result is 15935.94736842 with a remainder of 4e-09.