Let's divide 65165 by 42
Our goal is to divide 65165 by 42.

Going ahead to step 1:
If we divide 6 by 42, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 42

Moving on to step 2:
When dividing 65 by 42, we get 1 with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 42 from 65 to get 23.
Bring next digit (1) of the dividend behind the 23 and repeat the process: 231 / 42

Step 3:
231 divided by 42 is 5 with a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 21 after subtracting 210 from 231.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 42

Advancing to step 4:
When dividing 216 by 42, we get 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 155.0
The remainder is 6 after subtracting 210 from 216.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 42

Step 5:
When dividing 65 by 42, we get 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1551.0
Deduct 42 from 65 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 6:
The number 42 fits into 230 5 times, leaving a remainder of 20.
The next digit of our result is 5. 
Result so far: 1551.5
Deduct 210 from 230 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
The number 42 fits into 200 4 times, leaving a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 1551.54
Subtracting 168 from 200 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
When dividing 320 by 42, we get 7 with a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 1551.547
If we take 294 away from 320, we end up 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.

Going ahead to step 9:
If we divide 260 by 42, we get 6 and a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 1551.5476
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
42 can be fit into 80 1 times, resulting in a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 1551.54761
Subtract 42 from 80 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 11:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 1551.547619
Deduct 378 from 380 and we're left 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.

Going ahead to step 12:
If we divide 20 by 42, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 1551.547619
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 13:
The number 42 fits into 200 4 times, leaving a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 1551.54761904
Subtract 168 from 200 to 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.

In conclusion, the division gives 1551.54761904 with a balance of 3.2e-08.