Let's divide 433614 by 45
Our goal is to divide 433614 by 45.

On to step 1:
45 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 45

On to step 2:
43 divided by 45 is 0 with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 45

Moving on to step 3:
433 divided by 45 is 9 with a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 28 after subtracting 405 from 433.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 45

Step 4:
45 goes into 286 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 96.0
Subtracting 270 from 286 leaves us with 16.
Grab the next digit (1) from the dividend, add it to 16, then carry on: 161 / 45

On to step 5:
45 can be fit into 161 3 times, resulting in a remainder of 26.
The number 3 becomes the next digit in our result. 
Result so far: 963.0
Deduct 135 from 161 and we're left with 26.
Bring next digit (4) of the dividend behind the 26 and repeat the process: 264 / 45

Let's proceed to step 6:
264 divided by 45 is 5 with a remainder of 39.
The next digit of our result is 5. 
Result so far: 9635.0
The remainder is 39 after subtracting 225 from 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
The number 45 fits into 390 8 times, leaving a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 9635.8
Subtract 360 from 390 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.

Step 8:
45 can be fit into 300 6 times, resulting in a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 9635.86
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
When dividing 300 by 45, we get 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 9635.866
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 9635.866 with a remaining 0.003.