Let's divide 10576 by 90
We're looking to find how many times 90 goes into 10576.

Step 1:
When dividing 1 by 90, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 90

Let's proceed to step 2:
90 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 90

Moving on to step 3:
105 divided by 90 is 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 90 from 105, we get 15.
Grab the next digit (7) from the dividend, add it to 15, then carry on: 157 / 90

Moving on to step 4:
157 divided by 90 is 1 with a remainder of 67.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 90 from 157 to get 67.
Grab the next digit (6) from the dividend, add it to 67, then carry on: 676 / 90

Moving on to step 5:
90 goes into 676 7 times with a remainder of 46.
Use 7 as the next digit of our solution. 
Result so far: 117.0
If we subtract 630 from 676, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 6:
If we divide 460 by 90, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 117.5
If we take 450 away from 460, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
100 divided by 90 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 117.51
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
If we divide 100 by 90, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 117.511
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 117.511, with a leftover of 0.001.