Let's divide 305584 by 34
Our goal is to divide 305584 by 34.

Step 1:
If we divide 3 by 34, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 34

Advancing to step 2:
The number 34 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Include the next digit (5) from the dividend after 30, then repeat: 305 / 34

Step 3:
The number 34 fits into 305 8 times, leaving a remainder of 33.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 272 from 305 and we're left with 33.
Append the next digit (5) from the dividend to 33 and continue with: 335 / 34

Step 4:
The number 34 fits into 335 9 times, leaving a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
The remainder is 29 after subtracting 306 from 335.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 34

Let's proceed to step 5:
34 can be fit into 298 8 times, resulting in a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 898.0
The remainder is 26 after subtracting 272 from 298.
Take the next digit (4) from the dividend and append it to 26, then repeat: 264 / 34

Let's proceed to step 6:
The number 34 fits into 264 7 times, leaving a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 8987.0
Subtracting 238 from 264 leaves us 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.

On to step 7:
34 goes into 260 7 times with a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 8987.7
If we subtract 238 from 260, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
34 goes into 220 6 times with a remainder of 16.
The next digit of our result is 6. 
Result so far: 8987.76
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
34 goes into 160 4 times with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 8987.764
Subtract 136 from 160 to get 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 10:
34 goes into 240 7 times with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 8987.7647
Subtracting 238 from 240 leaves us 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.

Let's proceed to step 11:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8987.7647
Subtract 0 from 20 to 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.

On to step 12:
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: 8987.764705
Subtract 170 from 200 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.

Going ahead to step 13:
34 can be fit into 300 8 times, resulting in a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 8987.7647058
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.

Going ahead to step 14:
280 divided by 34 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 8987.76470588
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.

After the division, we end up with 8987.76470588 and a remainder of 8e-09.