340465 ÷ 75 
We want to figure out the number of times 340465 can be divided by 75.

Step 1:
When dividing 3 by 75, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 75

Advancing to step 2:
75 can be fit into 34 0 times, resulting in 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.
Include the next digit (0) from the dividend after 34, then repeat: 340 / 75

On to step 3:
If we divide 340 by 75, we get 4 and a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 300 away from 340, we end up with 40.
Include the next digit (4) from the dividend after 40, then repeat: 404 / 75

Advancing to step 4:
When dividing 404 by 75, we get 5 with a remainder of 29.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Subtracting 375 from 404 leaves us with 29.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 75

On to step 5:
75 can be fit into 296 3 times, resulting in a remainder of 71.
Record the quotient 3 as the next digit in the result. 
Result so far: 453.0
Subtracting 225 from 296 leaves us with 71.
Include the next digit (5) from the dividend after 71, then repeat: 715 / 75

Moving on to step 6:
75 goes into 715 9 times with a remainder of 40.
Use 9 as the next digit of our solution. 
Result so far: 4539.0
The remainder is 40 after subtracting 675 from 715.
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:
75 can be fit into 400 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 4539.5
Deduct 375 from 400 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.

Let's proceed to step 8:
250 divided by 75 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 4539.53
Subtract 225 from 250 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.

Moving on to step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 4539.533
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 4539.533 with a balance of 0.0025.