We're dividing 408541 by 75 
We're looking to find how many times 75 goes into 408541.

Let's proceed to step 1:
When dividing 4 by 75, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 75

Going ahead to step 2:
If we divide 40 by 75, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Fetch the next digit (8) from the dividend, attach it to 40 and continue: 408 / 75

Moving on to step 3:
When dividing 408 by 75, we get 5 with a remainder of 33.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 375 from 408 to get 33.
Fetch the next digit (5) from the dividend, attach it to 33 and continue: 335 / 75

Let's proceed to step 4:
75 goes into 335 4 times with a remainder of 35.
Put 4 as the next digit of the answer. 
Result so far: 54.0
If we subtract 300 from 335, we get 35.
Bring next digit (4) of the dividend behind the 35 and repeat the process: 354 / 75

On to step 5:
354 divided by 75 is 4 with a remainder of 54.
The next digit of our result is 4. 
Result so far: 544.0
If we take 300 away from 354, we end up with 54.
Fetch the next digit (1) from the dividend, attach it to 54 and continue: 541 / 75

On to step 6:
If we divide 541 by 75, we get 7 and a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 5447.0
If we subtract 525 from 541, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
160 divided by 75 is 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 5447.2
Subtract 150 from 160 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 8:
If we divide 100 by 75, we get 1 and a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 5447.21
Subtract 75 from 100 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.

On to step 9:
250 divided by 75 is 3 with a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 5447.213
Subtracting 225 from 250 leaves us 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.

Step 10:
75 goes into 250 3 times with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 5447.2133
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.

Our division results in 5447.2133 with a remaining 0.00025.