We're dividing 419164 by 34 
We want to divide 419164 by 34.

Let's proceed to step 1:
34 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 34

Moving on to step 2:
34 goes into 41 1 times with 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.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 34

Let's proceed to step 3:
If we divide 79 by 34, we get 2 and a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 68 from 79, we get 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 34

Step 4:
When dividing 111 by 34, we get 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 123.0
The remainder is 9 after subtracting 102 from 111.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 34

Advancing to step 5:
The number 34 fits into 96 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 1232.0
Subtract 68 from 96 to get 28.
Grab the next digit (4) from the dividend, add it to 28, then carry on: 284 / 34

Advancing to step 6:
When dividing 284 by 34, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 12328.0
If we take 272 away from 284, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
When dividing 120 by 34, we get 3 with a remainder of 18.
The next digit of our result is 3. 
Result so far: 12328.3
Subtracting 102 from 120 leaves us 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.

Let's proceed to step 8:
The number 34 fits into 180 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 12328.35
Subtract 170 from 180 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.

Advancing to step 9:
100 divided by 34 is 2 with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 12328.352
Deduct 68 from 100 and we're left 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.

Advancing to step 10:
The number 34 fits into 320 9 times, leaving a remainder of 14.
The next digit of our result is 9. 
Result so far: 12328.3529
If we subtract 306 from 320, we get 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 11:
If we divide 140 by 34, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 12328.35294
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.

Going ahead to step 12:
The number 34 fits into 40 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 12328.352941
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
The number 34 fits into 60 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 12328.3529411
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 result is 12328.3529411 with a remainder of 2.6e-07.