We look at the division of 313646 by 34 
We want to divide 313646 by 34.

Step 1:
34 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 34

Moving on to step 2:
34 goes into 31 0 times with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Fetch the next digit (3) from the dividend, attach it to 31 and continue: 313 / 34

On to step 3:
If we divide 313 by 34, we get 9 and a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 306 away from 313, we end up with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 34

Moving on to step 4:
The number 34 fits into 76 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 92.0
If we take 68 away from 76, we end up with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 34

Moving on to step 5:
34 goes into 84 2 times with a remainder of 16.
The next digit of our result is 2. 
Result so far: 922.0
Subtracting 68 from 84 leaves us with 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 34

Going ahead to step 6:
166 divided by 34 is 4 with a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 9224.0
Subtract 136 from 166 to 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:
When dividing 300 by 34, we get 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 9224.8
If we take 272 away from 300, we end up with 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 8:
34 can be fit into 280 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 9224.88
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 9224.88, and the remainder is 0.008.