We're dividing 334178 by 75 
We're looking to find how many times 75 goes into 334178.

Let's proceed to step 1:
If we divide 3 by 75, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 75

Let's proceed to step 2:
If we divide 33 by 75, we get 0 and a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 75

Going ahead to step 3:
When dividing 334 by 75, we get 4 with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 300 from 334, we get 34.
Append the next digit (1) from the dividend to 34 and continue with: 341 / 75

On to step 4:
75 can be fit into 341 4 times, resulting in a remainder of 41.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
The remainder is 41 after subtracting 300 from 341.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 75

On to step 5:
75 can be fit into 417 5 times, resulting in a remainder of 42.
Write down 5 as next digit of the result. 
Result so far: 445.0
The remainder is 42 after subtracting 375 from 417.
Include the next digit (8) from the dividend after 42, then repeat: 428 / 75

Moving on to step 6:
The number 75 fits into 428 5 times, leaving a remainder of 53.
The next digit of our result is 5. 
Result so far: 4455.0
If we take 375 away from 428, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 7:
75 can be fit into 530 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 4455.7
If we subtract 525 from 530, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
50 divided by 75 is 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 4455.7
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
500 divided by 75 is 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 4455.706
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 4455.7066
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 4455.7066 with a remaining 0.0005.