90975 ÷ 11 
Our goal is to divide 90975 by 11.

Let's proceed to step 1:
When dividing 9 by 11, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 11

Going ahead to step 2:
90 divided by 11 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtracting 88 from 90 leaves us with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 11

On to step 3:
The number 11 fits into 29 2 times, leaving a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
If we take 22 away from 29, we end up with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 11

On to step 4:
77 divided by 11 is 7 with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 827.0
If we take 77 away from 77, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 11

Step 5:
11 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 8270.0
Subtracting 0 from 5 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 6:
The number 11 fits into 50 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 8270.4
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
11 can be fit into 60 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 8270.45
Subtract 55 from 60 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
11 goes into 50 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 8270.454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
60 divided by 11 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8270.4545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
The number 11 fits into 50 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 8270.45454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
11 goes into 60 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 8270.454545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
If we divide 50 by 11, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 8270.4545454
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
60 divided by 11 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 8270.45454545
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 8270.45454545 with a remaining 5e-09.