We divide 354004 by 34
We want to divide 354004 by 34.

On to step 1:
34 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 34

On to step 2:
34 can be fit into 35 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 34 from 35 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 34

Advancing to step 3:
When dividing 14 by 34, we get 0 with a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 14 to get 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 34

Let's proceed to step 4:
140 divided by 34 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
Subtracting 136 from 140 leaves us with 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 34

Let's proceed to step 5:
The number 34 fits into 40 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1041.0
Deduct 34 from 40 and we're left with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 34

Moving on to step 6:
If we divide 64 by 34, we get 1 and a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 10411.0
If we subtract 34 from 64, 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 7:
34 goes into 300 8 times with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 10411.8
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
If we divide 280 by 34, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 10411.88
If we take 272 away from 280, we end up 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 10411.88, and the remainder is 0.008.