We're dividing 348742 by 65 
We're looking to find how many times 65 goes into 348742.

Step 1:
When dividing 3 by 65, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 65

Moving on to step 2:
65 goes into 34 0 times with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Append the next digit (8) from the dividend to 34 and continue with: 348 / 65

Let's proceed to step 3:
348 divided by 65 is 5 with a remainder of 23.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 325 from 348, we get 23.
Append the next digit (7) from the dividend to 23 and continue with: 237 / 65

Moving on to step 4:
When dividing 237 by 65, we get 3 with a remainder of 42.
The next digit of our result is 3. 
Result so far: 53.0
The remainder is 42 after subtracting 195 from 237.
Grab the next digit (4) from the dividend, add it to 42, then carry on: 424 / 65

Step 5:
65 goes into 424 6 times with a remainder of 34.
The next digit of our result is 6. 
Result so far: 536.0
If we subtract 390 from 424, we get 34.
Append the next digit (2) from the dividend to 34 and continue with: 342 / 65

Let's proceed to step 6:
342 divided by 65 is 5 with a remainder of 17.
Put 5 as the next digit of the answer. 
Result so far: 5365.0
The remainder is 17 after subtracting 325 from 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
170 divided by 65 is 2 with a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 5365.2
If we take 130 away from 170, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
400 divided by 65 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 5365.26
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
65 goes into 100 1 times with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 5365.261
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5365.2615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 11:
250 divided by 65 is 3 with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 5365.26153
If we take 195 away from 250, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 12:
65 can be fit into 550 8 times, resulting in a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 5365.261538
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 5365.2615384
Deduct 260 from 300 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 14:
When dividing 400 by 65, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 5365.26153846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 5365.26153846 with a remainder of 1e-08.