We're dividing 334676 by 75 
We're looking to find how many times 75 goes into 334676.

Step 1:
3 divided by 75 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 75

Advancing to step 2:
33 divided by 75 is 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 33, we get 33.
Include the next digit (4) from the dividend after 33, then repeat: 334 / 75

Step 3:
334 divided by 75 is 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.
Bring next digit (6) of the dividend behind the 34 and repeat the process: 346 / 75

On to step 4:
346 divided by 75 is 4 with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 44.0
Subtracting 300 from 346 leaves us with 46.
Include the next digit (7) from the dividend after 46, then repeat: 467 / 75

Step 5:
75 can be fit into 467 6 times, resulting in a remainder of 17.
The next digit of our result is 6. 
Result so far: 446.0
Subtract 450 from 467 to get 17.
Include the next digit (6) from the dividend after 17, then repeat: 176 / 75

Let's proceed to step 6:
75 goes into 176 2 times with a remainder of 26.
The next digit of our result is 2. 
Result so far: 4462.0
Subtracting 150 from 176 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
The number 75 fits into 260 3 times, leaving a remainder of 35.
The next digit of our result is 3. 
Result so far: 4462.3
Deduct 225 from 260 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
If we divide 350 by 75, we get 4 and a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 4462.34
Deduct 300 from 350 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.

Let's proceed to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The next digit of our result is 6. 
Result so far: 4462.346
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.

Going ahead to step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 4462.3466
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 4462.3466 with a remainder of 0.0005.