We look at the division of 420556 by 34 
We're looking to find how many times 34 goes into 420556.

Step 1:
The number 34 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 34

Going ahead to step 2:
When dividing 42 by 34, we get 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 34 from 42 leaves us with 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 34

On to step 3:
The number 34 fits into 80 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 12 after subtracting 68 from 80.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 34

Moving on to step 4:
If we divide 125 by 34, we get 3 and a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 123.0
If we subtract 102 from 125, we get 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 34

Going ahead to step 5:
When dividing 235 by 34, we get 6 with a remainder of 31.
Put 6 as the next digit of the answer. 
Result so far: 1236.0
Subtract 204 from 235 to get 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 34

Advancing to step 6:
34 can be fit into 316 9 times, resulting in a remainder of 10.
The next digit of our result is 9. 
Result so far: 12369.0
Subtract 306 from 316 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
34 can be fit into 100 2 times, resulting in a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 12369.2
Subtracting 68 from 100 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
34 can be fit into 320 9 times, resulting in a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 12369.29
If we take 306 away from 320, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
The number 34 fits into 140 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 12369.294
If we subtract 136 from 140, we 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.

Let's proceed to step 10:
40 divided by 34 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 12369.2941
Deduct 34 from 40 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
When dividing 60 by 34, we get 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 12369.29411
Subtracting 34 from 60 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.

The final result is 12369.29411 with a remainder of 2.6e-05.