We divide 346564 by 34
We want to figure out the number of times 346564 can be divided by 34.

Going ahead to step 1:
34 goes into 3 0 times with 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.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 34

Step 2:
The number 34 fits into 34 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 0 after subtracting 34 from 34.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 34

Advancing to step 3:
6 divided by 34 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 6, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 34

Step 4:
34 goes into 65 1 times with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 101.0
Deduct 34 from 65 and we're left with 31.
Fetch the next digit (6) from the dividend, attach it to 31 and continue: 316 / 34

Step 5:
If we divide 316 by 34, we get 9 and a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 1019.0
Subtracting 306 from 316 leaves us with 10.
Take the next digit (4) from the dividend and append it to 10, then repeat: 104 / 34

Going ahead to step 6:
104 divided by 34 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 10193.0
Deduct 102 from 104 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
34 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10193.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 10193.05
The remainder is 30 after subtracting 170 from 200.
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 9:
When dividing 300 by 34, we get 8 with a remainder of 28.
The next digit of our result is 8. 
Result so far: 10193.058
If we subtract 272 from 300, we 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.

Advancing to step 10:
The number 34 fits into 280 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 10193.0588
If we subtract 272 from 280, 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.

The quotient of the division is 10193.0588, and the remainder is 8e-05.