We divide 632133 by 81
We want to divide 632133 by 81.

On to step 1:
81 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 81

Advancing to step 2:
81 can be fit into 63 0 times, resulting in a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Grab the next digit (2) from the dividend, add it to 63, then carry on: 632 / 81

Moving on to step 3:
The number 81 fits into 632 7 times, leaving a remainder of 65.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 65 after subtracting 567 from 632.
Append the next digit (1) from the dividend to 65 and continue with: 651 / 81

On to step 4:
81 goes into 651 8 times with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we subtract 648 from 651, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 81

Step 5:
When dividing 33 by 81, we get 0 with a remainder of 33.
The next digit of our result is 0. 
Result so far: 780.0
Deduct 0 from 33 and we're left with 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 81

Advancing to step 6:
81 can be fit into 333 4 times, resulting in a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 7804.0
Subtract 324 from 333 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
90 divided by 81 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 7804.1
Subtracting 81 from 90 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
81 can be fit into 90 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 7804.11
Subtracting 81 from 90 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 7804.11, and the remainder is 0.009.