We're dividing 49633 by 6 
We want to figure out the number of times 49633 can be divided by 6.

Going ahead to step 1:
6 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 6

Moving on to step 2:
When dividing 49 by 6, we get 8 with a remainder of 1.
The next digit of our result is 8. 
Result so far: 8.0
If we take 48 away from 49, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Step 3:
When dividing 16 by 6, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 82.0
Subtracting 12 from 16 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 6

Advancing to step 4:
6 can be fit into 43 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 827.0
Subtract 42 from 43 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 6

Let's proceed to step 5:
13 divided by 6 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 8272.0
Subtract 12 from 13 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 6:
If we divide 10 by 6, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 8272.1
The remainder is 4 after subtracting 6 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
If we divide 40 by 6, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 8272.16
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8272.166
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 8272.166, and the remainder is 0.0004.