We look at the division of 408668 by 34 
Let's see how many times 34 fits into 408668.

Going ahead to step 1:
When dividing 4 by 34, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 34

Going ahead to step 2:
When dividing 40 by 34, we get 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 34 away from 40, we end up with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 34

Going ahead to step 3:
If we divide 68 by 34, we get 2 and a remainder of 0.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 68 from 68 leaves us with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 34

Moving on to step 4:
34 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 120.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 34

Moving on to step 5:
If we divide 66 by 34, we get 1 and a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 1201.0
Deduct 34 from 66 and we're left with 32.
Include the next digit (8) from the dividend after 32, then repeat: 328 / 34

On to step 6:
328 divided by 34 is 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 12019.0
Subtracting 306 from 328 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
The number 34 fits into 220 6 times, leaving a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 12019.6
Deduct 204 from 220 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
34 goes into 160 4 times with a remainder of 24.
The next digit of our result is 4. 
Result so far: 12019.64
Deduct 136 from 160 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
The number 34 fits into 240 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 12019.647
Subtract 238 from 240 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
If we divide 20 by 34, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 12019.647
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 11:
If we divide 200 by 34, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 12019.64705
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
300 divided by 34 is 8 with a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 12019.647058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 13:
If we divide 280 by 34, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 12019.6470588
Subtracting 272 from 280 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 12019.6470588, and the remainder is 8e-08.