We divide 340909 by 65
We want to figure out the number of times 340909 can be divided by 65.

Going ahead to step 1:
If we divide 3 by 65, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 65

Moving on to step 2:
When dividing 34 by 65, we get 0 with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Bring next digit (0) of the dividend behind the 34 and repeat the process: 340 / 65

Let's proceed to step 3:
65 goes into 340 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 325 from 340 to get 15.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 65

Step 4:
If we divide 159 by 65, we get 2 and a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 52.0
If we take 130 away from 159, we end up with 29.
Include the next digit (0) from the dividend after 29, then repeat: 290 / 65

Advancing to step 5:
65 can be fit into 290 4 times, resulting in a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 524.0
If we subtract 260 from 290, we get 30.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 65

Moving on to step 6:
If we divide 309 by 65, we get 4 and a remainder of 49.
Use 4 as the next digit of our solution. 
Result so far: 5244.0
If we take 260 away from 309, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 7:
If we divide 490 by 65, we get 7 and a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 5244.7
Subtract 455 from 490 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.

Let's proceed to step 8:
350 divided by 65 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 5244.75
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.

Going ahead to step 9:
250 divided by 65 is 3 with a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 5244.753
Subtracting 195 from 250 leaves us 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.

Advancing to step 10:
550 divided by 65 is 8 with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 5244.7538
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.

Let's proceed to step 11:
If we divide 300 by 65, we get 4 and a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 5244.75384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 12:
When dividing 400 by 65, we get 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 5244.753846
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.

Moving on to step 13:
The number 65 fits into 100 1 times, leaving a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 5244.7538461
Subtracting 65 from 100 leaves us with 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 14:
65 goes into 350 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 5244.75384615
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.

Our division results in 5244.75384615 with a remaining 2.5e-08.