42345 divided by 75 
Let's see how many times 75 fits into 42345.

Let's proceed to step 1:
75 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 75

On to step 2:
If we divide 42 by 75, we get 0 and a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Bring next digit (3) of the dividend behind the 42 and repeat the process: 423 / 75

Moving on to step 3:
When dividing 423 by 75, we get 5 with a remainder of 48.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 375 away from 423, we end up with 48.
Grab the next digit (4) from the dividend, add it to 48, then carry on: 484 / 75

On to step 4:
When dividing 484 by 75, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 56.0
Deduct 450 from 484 and we're left with 34.
Append the next digit (5) from the dividend to 34 and continue with: 345 / 75

On to step 5:
The number 75 fits into 345 4 times, leaving a remainder of 45.
The next digit of our result is 4. 
Result so far: 564.0
Deduct 300 from 345 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 6:
The number 75 fits into 450 6 times, leaving a remainder of 0.
The next digit of our result is 6. 
Result so far: 564.6
If we subtract 450 from 450, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
0 divided by 75 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 564.6
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
75 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 564.6
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 564.6 with a balance of 0.0.