165545 ÷ 38 
Our goal is to divide 165545 by 38.

Advancing to step 1:
When dividing 1 by 38, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 38

On to step 2:
16 divided by 38 is 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 16 after subtracting 0 from 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 38

On to step 3:
38 goes into 165 4 times with a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 13 after subtracting 152 from 165.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 38

Going ahead to step 4:
If we divide 135 by 38, we get 3 and a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 43.0
Subtract 114 from 135 to get 21.
Include the next digit (4) from the dividend after 21, then repeat: 214 / 38

Step 5:
The number 38 fits into 214 5 times, leaving a remainder of 24.
Write down 5 as next digit of the result. 
Result so far: 435.0
The remainder is 24 after subtracting 190 from 214.
Include the next digit (5) from the dividend after 24, then repeat: 245 / 38

Let's proceed to step 6:
The number 38 fits into 245 6 times, leaving a remainder of 17.
The next digit of our result is 6. 
Result so far: 4356.0
Deduct 228 from 245 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
If we divide 170 by 38, we get 4 and a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 4356.4
If we take 152 away from 170, 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.

Going ahead to step 8:
When dividing 180 by 38, we get 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 4356.44
Subtracting 152 from 180 leaves us 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 4356.44 with a remainder of 0.028.