We look at the division of 35003842 by 825 
Our goal is to divide 35003842 by 825.

Moving on to step 1:
3 divided by 825 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 825

Step 2:
The number 825 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Append the next digit (0) from the dividend to 35 and continue with: 350 / 825

Let's proceed to step 3:
350 divided by 825 is 0 with a remainder of 350.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 350, we end up with 350.
Append the next digit (0) from the dividend to 350 and continue with: 3500 / 825

Let's proceed to step 4:
If we divide 3500 by 825, we get 4 and a remainder of 200.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 200 after subtracting 3300 from 3500.
Include the next digit (3) from the dividend after 200, then repeat: 2003 / 825

Step 5:
825 can be fit into 2003 2 times, resulting in a remainder of 353.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
If we take 1650 away from 2003, we end up with 353.
Include the next digit (8) from the dividend after 353, then repeat: 3538 / 825

Moving on to step 6:
The number 825 fits into 3538 4 times, leaving a remainder of 238.
The next digit of our result is 4. 
Result so far: 424.0
If we subtract 3300 from 3538, we get 238.
Take the next digit (4) from the dividend and append it to 238, then repeat: 2384 / 825

On to step 7:
When dividing 2384 by 825, we get 2 with a remainder of 734.
The next digit of our result is 2. 
Result so far: 4242.0
Deduct 1650 from 2384 and we're left with 734.
Append the next digit (2) from the dividend to 734 and continue with: 7342 / 825

On to step 8:
If we divide 7342 by 825, we get 8 and a remainder of 742.
The number 8 becomes the next digit in our result. 
Result so far: 42428.0
Subtract 6600 from 7342 to get 742.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7420, and continue the process.

Let's proceed to step 9:
The number 825 fits into 7420 8 times, leaving a remainder of 820.
Use 8 as the next digit of our solution. 
Result so far: 42428.8
Subtract 6600 from 7420 to get 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8200, and continue the process.

Advancing to step 10:
825 can be fit into 8200 9 times, resulting in a remainder of 775.
The next digit of our result is 9. 
Result so far: 42428.89
Subtract 7425 from 8200 to get 775.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7750, and continue the process.

Going ahead to step 11:
When dividing 7750 by 825, we get 9 with a remainder of 325.
Record the quotient 9 as the next digit in the result. 
Result so far: 42428.899
Deduct 7425 from 7750 and we're left with 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

After the division, we end up with 42428.899 and a remainder of 0.0325.