We're dividing 165538 by 75 
We're looking to find how many times 75 goes into 165538.

Advancing to step 1:
When dividing 1 by 75, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 75

Advancing to step 2:
If we divide 16 by 75, we get 0 and a remainder of 16.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 75

Let's proceed to step 3:
165 divided by 75 is 2 with a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 150 from 165 leaves us with 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 75

Let's proceed to step 4:
The number 75 fits into 155 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 22.0
Deduct 150 from 155 and we're left with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 75

Advancing to step 5:
75 can be fit into 53 0 times, resulting in a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 220.0
Subtracting 0 from 53 leaves us with 53.
Grab the next digit (8) from the dividend, add it to 53, then carry on: 538 / 75

Moving on to step 6:
75 goes into 538 7 times with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 2207.0
Deduct 525 from 538 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
The number 75 fits into 130 1 times, leaving a remainder of 55.
Write down 1 as next digit of the result. 
Result so far: 2207.1
Subtract 75 from 130 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
If we divide 550 by 75, we get 7 and a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 2207.17
Subtract 525 from 550 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 2207.173
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 2207.1733
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 2207.1733 with a balance of 0.00025.