We're dividing 2305 by 234 
We're looking to find how many times 234 goes into 2305.

Moving on to step 1:
If we divide 2 by 234, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 234

Moving on to step 2:
234 goes into 23 0 times with a remainder of 23.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 23, we end up with 23.
Include the next digit (0) from the dividend after 23, then repeat: 230 / 234

Let's proceed to step 3:
If we divide 230 by 234, we get 0 and a remainder of 230.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 230 and we're left with 230.
Grab the next digit (5) from the dividend, add it to 230, then carry on: 2305 / 234

Going ahead to step 4:
When dividing 2305 by 234, we get 9 with a remainder of 199.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 2106 from 2305 to get 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Moving on to step 5:
The number 234 fits into 1990 8 times, leaving a remainder of 118.
Record the quotient 8 as the next digit in the result. 
Result so far: 9.8
Subtracting 1872 from 1990 leaves us with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Going ahead to step 6:
1180 divided by 234 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 9.85
Subtract 1170 from 1180 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
When dividing 100 by 234, we get 0 with a remainder of 100.
Use 0 as the next digit of our solution. 
Result so far: 9.85
If we take 0 away from 100, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Step 8:
234 can be fit into 1000 4 times, resulting in a remainder of 64.
Put 4 as the next digit of the answer. 
Result so far: 9.8504
Subtracting 936 from 1000 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 9:
When dividing 640 by 234, we get 2 with a remainder of 172.
Use 2 as the next digit of our solution. 
Result so far: 9.85042
The remainder is 172 after subtracting 468 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Advancing to step 10:
When dividing 1720 by 234, we get 7 with a remainder of 82.
Use 7 as the next digit of our solution. 
Result so far: 9.850427
If we take 1638 away from 1720, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 11:
If we divide 820 by 234, we get 3 and a remainder of 118.
Use 3 as the next digit of our solution. 
Result so far: 9.8504273
Deduct 702 from 820 and we're left with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

On to step 12:
The number 234 fits into 1180 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 9.85042735
Subtracting 1170 from 1180 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 9.85042735 with a balance of 1e-08.