340315 ÷ 65 
We're looking to find how many times 65 goes into 340315.

Going ahead to step 1:
If we divide 3 by 65, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 65

Moving on to step 2:
When dividing 34 by 65, we get 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Take the next digit (0) from the dividend and append it to 34, then repeat: 340 / 65

Moving on to step 3:
If we divide 340 by 65, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 325 from 340, we get 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 65

Moving on to step 4:
If we divide 153 by 65, we get 2 and a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 52.0
If we take 130 away from 153, we end up with 23.
Grab the next digit (1) from the dividend, add it to 23, then carry on: 231 / 65

Going ahead to step 5:
65 can be fit into 231 3 times, resulting in a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 523.0
If we take 195 away from 231, we end up with 36.
Include the next digit (5) from the dividend after 36, then repeat: 365 / 65

Advancing to step 6:
If we divide 365 by 65, we get 5 and a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 5235.0
Subtracting 325 from 365 leaves us 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.

On to step 7:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 5235.6
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.

Step 8:
100 divided by 65 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 5235.61
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
65 goes into 350 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 5235.615
Deduct 325 from 350 and we're left 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.

Advancing to step 10:
250 divided by 65 is 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 5235.6153
Subtract 195 from 250 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 11:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 5235.61538
Deduct 520 from 550 and we're left 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 12:
300 divided by 65 is 4 with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 5235.615384
If we take 260 away from 300, 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.

On to step 13:
If we divide 400 by 65, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 5235.6153846
Subtract 390 from 400 to get 10.
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 14:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 5235.61538461
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.

In conclusion, the division gives 5235.61538461 with a balance of 3.5e-08.