We're dividing 41670 by 75 
We're looking to find how many times 75 goes into 41670.

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
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 75

Going ahead to step 2:
When dividing 41 by 75, we get 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 75

Moving on to step 3:
If we divide 416 by 75, we get 5 and a remainder of 41.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 375 from 416, we get 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 75

Going ahead to step 4:
417 divided by 75 is 5 with a remainder of 42.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we take 375 away from 417, we end up with 42.
Take the next digit (0) from the dividend and append it to 42, then repeat: 420 / 75

Step 5:
If we divide 420 by 75, we get 5 and a remainder of 45.
The next digit of our result is 5. 
Result so far: 555.0
Deduct 375 from 420 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.

Step 6:
450 divided by 75 is 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 555.6
If we take 450 away from 450, we end up 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 7:
If we divide 0 by 75, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 555.6
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.

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: 555.6
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.

Our division results in 555.6 with a remaining 0.0.