413628 divided by 34 
We want to divide 413628 by 34.

Going ahead to step 1:
If we divide 4 by 34, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 34

Step 2:
The number 34 fits into 41 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 7 after subtracting 34 from 41.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 34

Let's proceed to step 3:
73 divided by 34 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtract 68 from 73 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 34

Moving on to step 4:
56 divided by 34 is 1 with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 121.0
Subtracting 34 from 56 leaves us with 22.
Include the next digit (2) from the dividend after 22, then repeat: 222 / 34

Step 5:
222 divided by 34 is 6 with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 1216.0
If we subtract 204 from 222, we get 18.
Include the next digit (8) from the dividend after 18, then repeat: 188 / 34

Advancing to step 6:
34 can be fit into 188 5 times, resulting in a remainder of 18.
Write down 5 as next digit of the result. 
Result so far: 12165.0
If we take 170 away from 188, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
34 goes into 180 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 12165.5
Subtracting 170 from 180 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
34 can be fit into 100 2 times, resulting in a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 12165.52
If we take 68 away from 100, we end up 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 9:
The number 34 fits into 320 9 times, leaving a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 12165.529
Subtracting 306 from 320 leaves us 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.

Step 10:
If we divide 140 by 34, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 12165.5294
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.

On to step 11:
40 divided by 34 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 12165.52941
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.

Step 12:
60 divided by 34 is 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 12165.529411
If we subtract 34 from 60, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 12165.529411 with a balance of 2.6e-06.