43648823 ÷ 233 
We want to figure out the number of times 43648823 can be divided by 233.

Step 1:
233 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 233

Let's proceed to step 2:
If we divide 43 by 233, we get 0 and 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.
Append the next digit (6) from the dividend to 43 and continue with: 436 / 233

Moving on to step 3:
233 can be fit into 436 1 times, resulting in a remainder of 203.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 233 away from 436, we end up with 203.
Take the next digit (4) from the dividend and append it to 203, then repeat: 2034 / 233

On to step 4:
233 can be fit into 2034 8 times, resulting in a remainder of 170.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we subtract 1864 from 2034, we get 170.
Grab the next digit (8) from the dividend, add it to 170, then carry on: 1708 / 233

Step 5:
233 goes into 1708 7 times with a remainder of 77.
Use 7 as the next digit of our solution. 
Result so far: 187.0
If we subtract 1631 from 1708, we get 77.
Append the next digit (8) from the dividend to 77 and continue with: 778 / 233

On to step 6:
When dividing 778 by 233, we get 3 with a remainder of 79.
Put 3 as the next digit of the answer. 
Result so far: 1873.0
Subtracting 699 from 778 leaves us with 79.
Take the next digit (2) from the dividend and append it to 79, then repeat: 792 / 233

Moving on to step 7:
233 can be fit into 792 3 times, resulting in a remainder of 93.
Write down 3 as next digit of the result. 
Result so far: 18733.0
Deduct 699 from 792 and we're left with 93.
Grab the next digit (3) from the dividend, add it to 93, then carry on: 933 / 233

Going ahead to step 8:
933 divided by 233 is 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 187334.0
If we take 932 away from 933, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
233 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 187334.0
Subtract 0 from 10 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 10:
233 can be fit into 100 0 times, resulting in a remainder of 100.
Write down 0 as next digit of the result. 
Result so far: 187334.0
Subtract 0 from 100 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

After the division, we end up with 187334.0 and a remainder of 0.1.