We're dividing 409606 by 34 
We want to figure out the number of times 409606 can be divided by 34.

Let's proceed to step 1:
The number 34 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 34

On to step 2:
34 goes into 40 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 34 away from 40, we end up with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 34

Step 3:
34 can be fit into 69 2 times, resulting in a remainder of 1.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 1 after subtracting 68 from 69.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 34

Let's proceed to step 4:
16 divided by 34 is 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 120.0
If we take 0 away from 16, we end up with 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 34

Going ahead to step 5:
34 can be fit into 160 4 times, resulting in a remainder of 24.
The next digit of our result is 4. 
Result so far: 1204.0
If we take 136 away from 160, we end up with 24.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 34

Step 6:
34 goes into 246 7 times with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 12047.0
If we subtract 238 from 246, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
When dividing 80 by 34, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 12047.2
The remainder is 12 after subtracting 68 from 80.
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 8:
34 can be fit into 120 3 times, resulting in a remainder of 18.
The next digit of our result is 3. 
Result so far: 12047.23
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.

Step 9:
180 divided by 34 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 12047.235
If we subtract 170 from 180, we 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.

Moving on to step 10:
100 divided by 34 is 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 12047.2352
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.

Moving on to step 11:
34 can be fit into 320 9 times, resulting in a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 12047.23529
Deduct 306 from 320 and we're left 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.

Let's proceed to step 12:
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: 12047.235294
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.

Step 13:
34 can be fit into 40 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 12047.2352941
Subtract 34 from 40 to 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.

Moving on to step 14:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 12047.23529411
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 quotient of the division is 12047.23529411, and the remainder is 2.6e-08.