34433932 ÷ 825 
We want to figure out the number of times 34433932 can be divided by 825.

Let's proceed to step 1:
825 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 825

Step 2:
825 can be fit into 34 0 times, resulting in a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Bring next digit (4) of the dividend behind the 34 and repeat the process: 344 / 825

Let's proceed to step 3:
825 can be fit into 344 0 times, resulting in a remainder of 344.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 344 and we're left with 344.
Fetch the next digit (3) from the dividend, attach it to 344 and continue: 3443 / 825

Step 4:
The number 825 fits into 3443 4 times, leaving a remainder of 143.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 143 after subtracting 3300 from 3443.
Include the next digit (3) from the dividend after 143, then repeat: 1433 / 825

Step 5:
1433 divided by 825 is 1 with a remainder of 608.
Write down 1 as next digit of the result. 
Result so far: 41.0
The remainder is 608 after subtracting 825 from 1433.
Append the next digit (9) from the dividend to 608 and continue with: 6089 / 825

Step 6:
If we divide 6089 by 825, we get 7 and a remainder of 314.
Write down 7 as next digit of the result. 
Result so far: 417.0
The remainder is 314 after subtracting 5775 from 6089.
Include the next digit (3) from the dividend after 314, then repeat: 3143 / 825

Step 7:
825 can be fit into 3143 3 times, resulting in a remainder of 668.
Use 3 as the next digit of our solution. 
Result so far: 4173.0
If we subtract 2475 from 3143, we get 668.
Bring next digit (2) of the dividend behind the 668 and repeat the process: 6682 / 825

On to step 8:
825 can be fit into 6682 8 times, resulting in a remainder of 82.
Use 8 as the next digit of our solution. 
Result so far: 41738.0
Subtract 6600 from 6682 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 9:
If we divide 820 by 825, we get 0 and a remainder of 820.
The next digit of our result is 0. 
Result so far: 41738.0
The remainder is 820 after subtracting 0 from 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8200, and continue the process.

Step 10:
If we divide 8200 by 825, we get 9 and a remainder of 775.
Record the quotient 9 as the next digit in the result. 
Result so far: 41738.09
Deduct 7425 from 8200 and we're left with 775.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7750, and continue the process.

Let's proceed to step 11:
825 goes into 7750 9 times with a remainder of 325.
Put 9 as the next digit of the answer. 
Result so far: 41738.099
Subtract 7425 from 7750 to get 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

The final result is 41738.099 with a remainder of 0.0325.