14433504 ÷ 614 
Let's see how many times 614 fits into 14433504.

On to step 1:
614 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 614

Advancing to step 2:
614 goes into 14 0 times with a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 614

Step 3:
If we divide 144 by 614, we get 0 and a remainder of 144.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 144, we get 144.
Fetch the next digit (3) from the dividend, attach it to 144 and continue: 1443 / 614

On to step 4:
When dividing 1443 by 614, we get 2 with a remainder of 215.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 1228 away from 1443, we end up with 215.
Grab the next digit (3) from the dividend, add it to 215, then carry on: 2153 / 614

Advancing to step 5:
614 can be fit into 2153 3 times, resulting in a remainder of 311.
Put 3 as the next digit of the answer. 
Result so far: 23.0
If we subtract 1842 from 2153, we get 311.
Bring next digit (5) of the dividend behind the 311 and repeat the process: 3115 / 614

On to step 6:
614 goes into 3115 5 times with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 235.0
Subtract 3070 from 3115 to get 45.
Take the next digit (0) from the dividend and append it to 45, then repeat: 450 / 614

Let's proceed to step 7:
450 divided by 614 is 0 with a remainder of 450.
Put 0 as the next digit of the answer. 
Result so far: 2350.0
Deduct 0 from 450 and we're left with 450.
Include the next digit (4) from the dividend after 450, then repeat: 4504 / 614

On to step 8:
614 goes into 4504 7 times with a remainder of 206.
The next digit of our result is 7. 
Result so far: 23507.0
Subtract 4298 from 4504 to get 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

On to step 9:
2060 divided by 614 is 3 with a remainder of 218.
The next digit of our result is 3. 
Result so far: 23507.3
Deduct 1842 from 2060 and we're left with 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Step 10:
614 can be fit into 2180 3 times, resulting in a remainder of 338.
Record the quotient 3 as the next digit in the result. 
Result so far: 23507.33
If we subtract 1842 from 2180, we get 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

The final result is 23507.33 with a remainder of 0.338.