Let's divide 96626 by 90
Our goal is to divide 96626 by 90.

Advancing to step 1:
9 divided by 90 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 take 0 away from 9, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 90

Step 2:
90 goes into 96 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 90 from 96, we get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 90

Let's proceed to step 3:
90 goes into 66 0 times with a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 66 and we're left with 66.
Include the next digit (2) from the dividend after 66, then repeat: 662 / 90

Step 4:
662 divided by 90 is 7 with a remainder of 32.
Write down 7 as next digit of the result. 
Result so far: 107.0
Subtract 630 from 662 to get 32.
Fetch the next digit (6) from the dividend, attach it to 32 and continue: 326 / 90

Advancing to step 5:
326 divided by 90 is 3 with a remainder of 56.
The next digit of our result is 3. 
Result so far: 1073.0
Subtract 270 from 326 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 6:
560 divided by 90 is 6 with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 1073.6
The remainder is 20 after subtracting 540 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
When dividing 200 by 90, we get 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 1073.62
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
The number 90 fits into 200 2 times, leaving a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 1073.622
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 1073.622, and the remainder is 0.002.