We're dividing 427003 by 34 
Our goal is to divide 427003 by 34.

Let's proceed to step 1:
4 divided by 34 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 34

On to step 2:
34 goes into 42 1 times with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 34 from 42 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 34

Moving on to step 3:
34 can be fit into 87 2 times, resulting in a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 19 after subtracting 68 from 87.
Append the next digit (0) from the dividend to 19 and continue with: 190 / 34

On to step 4:
If we divide 190 by 34, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 125.0
The remainder is 20 after subtracting 170 from 190.
Take the next digit (0) from the dividend and append it to 20, then repeat: 200 / 34

On to step 5:
34 can be fit into 200 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 1255.0
Subtracting 170 from 200 leaves us with 30.
Fetch the next digit (3) from the dividend, attach it to 30 and continue: 303 / 34

Let's proceed to step 6:
The number 34 fits into 303 8 times, leaving a remainder of 31.
Use 8 as the next digit of our solution. 
Result so far: 12558.0
Deduct 272 from 303 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
34 goes into 310 9 times with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 12558.9
Subtract 306 from 310 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
The number 34 fits into 40 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 12558.91
If we subtract 34 from 40, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
34 goes into 60 1 times with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 12558.911
Deduct 34 from 60 and we're left 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.

The final outcome is 12558.911, with a leftover of 0.0026.