We divide 314034 by 75
We're looking to find how many times 75 goes into 314034.

Going ahead to step 1:
3 divided by 75 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 75

Moving on to step 2:
75 can be fit into 31 0 times, resulting in a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 75

Going ahead to step 3:
314 divided by 75 is 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 14 after subtracting 300 from 314.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 75

Step 4:
75 goes into 140 1 times with a remainder of 65.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
The remainder is 65 after subtracting 75 from 140.
Fetch the next digit (3) from the dividend, attach it to 65 and continue: 653 / 75

Advancing to step 5:
75 can be fit into 653 8 times, resulting in a remainder of 53.
Write down 8 as next digit of the result. 
Result so far: 418.0
Subtract 600 from 653 to get 53.
Fetch the next digit (4) from the dividend, attach it to 53 and continue: 534 / 75

Moving on to step 6:
75 goes into 534 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 4187.0
If we subtract 525 from 534, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
90 divided by 75 is 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 4187.1
Deduct 75 from 90 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
75 can be fit into 150 2 times, resulting in a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 4187.12
Subtracting 150 from 150 leaves us 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.

Advancing to step 9:
0 divided by 75 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 4187.12
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.

Let's proceed to step 10:
If we divide 0 by 75, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4187.12
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.

The quotient of the division is 4187.12, and the remainder is 0.0.