We look at the division of 413054 by 75 
We're looking to find how many times 75 goes into 413054.

Advancing to step 1:
75 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 75

On to step 2:
The number 75 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Fetch the next digit (3) from the dividend, attach it to 41 and continue: 413 / 75

Step 3:
If we divide 413 by 75, we get 5 and a remainder of 38.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 375 from 413 leaves us with 38.
Append the next digit (0) from the dividend to 38 and continue with: 380 / 75

Advancing to step 4:
380 divided by 75 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 55.0
If we take 375 away from 380, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 75

Advancing to step 5:
75 can be fit into 55 0 times, resulting in a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 550.0
If we take 0 away from 55, we end up with 55.
Include the next digit (4) from the dividend after 55, then repeat: 554 / 75

On to step 6:
554 divided by 75 is 7 with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 5507.0
If we subtract 525 from 554, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
When dividing 290 by 75, we get 3 with a remainder of 65.
Record the quotient 3 as the next digit in the result. 
Result so far: 5507.3
If we take 225 away from 290, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 8:
650 divided by 75 is 8 with a remainder of 50.
Put 8 as the next digit of the answer. 
Result so far: 5507.38
If we subtract 600 from 650, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
75 goes into 500 6 times with a remainder of 50.
The next digit of our result is 6. 
Result so far: 5507.386
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 5507.3866
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 5507.3866, and the remainder is 0.0005.