We look at the division of 427501 by 34 
We're looking to find how many times 34 goes into 427501.

On to step 1:
The number 34 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
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

Going ahead to step 2:
The number 34 fits into 42 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 34 from 42 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 34

Advancing to step 3:
34 can be fit into 87 2 times, resulting in a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 68 from 87, we get 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 34

Going ahead to step 4:
When dividing 195 by 34, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 125.0
Subtract 170 from 195 to get 25.
Bring next digit (0) of the dividend behind the 25 and repeat the process: 250 / 34

Moving on to step 5:
34 can be fit into 250 7 times, resulting in a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 1257.0
If we subtract 238 from 250, we get 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 34

Let's proceed to step 6:
34 can be fit into 121 3 times, resulting in a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 12573.0
If we subtract 102 from 121, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
The number 34 fits into 190 5 times, leaving a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 12573.5
If we subtract 170 from 190, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
When dividing 200 by 34, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 12573.55
Subtracting 170 from 200 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 12573.55 with a remainder of 0.03.