We look at the division of 96825 by 42 
Our goal is to divide 96825 by 42.

Advancing to step 1:
42 goes into 9 0 times with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 42

Going ahead to step 2:
When dividing 96 by 42, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 84 from 96 leaves us with 12.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 42

Moving on to step 3:
If we divide 128 by 42, we get 3 and a remainder of 2.
The next digit of our result is 3. 
Result so far: 23.0
If we take 126 away from 128, we end up with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 42

Advancing to step 4:
42 can be fit into 22 0 times, resulting in a remainder of 22.
Use 0 as the next digit of our solution. 
Result so far: 230.0
Subtract 0 from 22 to get 22.
Take the next digit (5) from the dividend and append it to 22, then repeat: 225 / 42

Advancing to step 5:
If we divide 225 by 42, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 2305.0
If we take 210 away from 225, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 6:
The number 42 fits into 150 3 times, leaving a remainder of 24.
Use 3 as the next digit of our solution. 
Result so far: 2305.3
The remainder is 24 after subtracting 126 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
When dividing 240 by 42, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 2305.35
The remainder is 30 after subtracting 210 from 240.
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 8:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 2305.357
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
42 can be fit into 60 1 times, resulting in a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 2305.3571
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
180 divided by 42 is 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 2305.35714
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 2305.357142
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 12:
42 can be fit into 360 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 2305.3571428
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
42 goes into 240 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 2305.35714285
If we take 210 away from 240, 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.

The quotient of the division is 2305.35714285, and the remainder is 3e-08.