414120 ÷ 75 
Let's see how many times 75 fits into 414120.

Step 1:
The number 75 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 75

Moving on to step 2:
When dividing 41 by 75, we get 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (4) of the dividend behind the 41 and repeat the process: 414 / 75

On to step 3:
When dividing 414 by 75, we get 5 with a remainder of 39.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 375 from 414 to get 39.
Grab the next digit (1) from the dividend, add it to 39, then carry on: 391 / 75

Going ahead to step 4:
The number 75 fits into 391 5 times, leaving a remainder of 16.
The next digit of our result is 5. 
Result so far: 55.0
If we subtract 375 from 391, we get 16.
Fetch the next digit (2) from the dividend, attach it to 16 and continue: 162 / 75

Step 5:
162 divided by 75 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 552.0
Subtract 150 from 162 to get 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 75

Going ahead to step 6:
If we divide 120 by 75, we get 1 and a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 5521.0
If we subtract 75 from 120, we get 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 7:
The number 75 fits into 450 6 times, leaving a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 5521.6
Subtracting 450 from 450 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.

Let's proceed to step 8:
0 divided by 75 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5521.6
Deduct 0 from 0 and we're left 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.

Moving on to step 9:
0 divided by 75 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5521.6
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 5521.6 with a remainder of 0.0.