We're dividing 90543 by 81 
Our goal is to divide 90543 by 81.

Step 1:
9 divided by 81 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 81

Step 2:
The number 81 fits into 90 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 81 from 90 and we're left with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 81

Moving on to step 3:
81 goes into 95 1 times with a remainder of 14.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 81 from 95, we get 14.
Append the next digit (4) from the dividend to 14 and continue with: 144 / 81

Advancing to step 4:
144 divided by 81 is 1 with a remainder of 63.
Write down 1 as next digit of the result. 
Result so far: 111.0
Deduct 81 from 144 and we're left with 63.
Take the next digit (3) from the dividend and append it to 63, then repeat: 633 / 81

Advancing to step 5:
81 goes into 633 7 times with a remainder of 66.
The number 7 becomes the next digit in our result. 
Result so far: 1117.0
Deduct 567 from 633 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 6:
The number 81 fits into 660 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 1117.8
Subtracting 648 from 660 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
81 can be fit into 120 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1117.81
Subtracting 81 from 120 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 8:
390 divided by 81 is 4 with a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 1117.814
If we take 324 away from 390, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 9:
When dividing 660 by 81, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 1117.8148
Subtracting 648 from 660 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
When dividing 120 by 81, we get 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 1117.81481
Deduct 81 from 120 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 11:
390 divided by 81 is 4 with a remainder of 66.
Write down 4 as next digit of the result. 
Result so far: 1117.814814
Subtracting 324 from 390 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 12:
The number 81 fits into 660 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1117.8148148
The remainder is 12 after subtracting 648 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
If we divide 120 by 81, we get 1 and a remainder of 39.
The next digit of our result is 1. 
Result so far: 1117.81481481
Subtract 81 from 120 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Our division results in 1117.81481481 with a remaining 3.9e-08.