Let's divide 526665 by 90
We want to divide 526665 by 90.

Let's proceed to step 1:
If we divide 5 by 90, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 90

Going ahead to step 2:
90 can be fit into 52 0 times, resulting in a remainder of 52.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 52 leaves us with 52.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 90

On to step 3:
90 can be fit into 526 5 times, resulting in a remainder of 76.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 450 from 526 and we're left with 76.
Fetch the next digit (6) from the dividend, attach it to 76 and continue: 766 / 90

Advancing to step 4:
The number 90 fits into 766 8 times, leaving a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Subtracting 720 from 766 leaves us with 46.
Bring next digit (6) of the dividend behind the 46 and repeat the process: 466 / 90

Let's proceed to step 5:
90 can be fit into 466 5 times, resulting in a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 585.0
If we subtract 450 from 466, we get 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 90

Let's proceed to step 6:
90 can be fit into 165 1 times, resulting in a remainder of 75.
The number 1 becomes the next digit in our result. 
Result so far: 5851.0
If we subtract 90 from 165, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 7:
750 divided by 90 is 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 5851.8
If we subtract 720 from 750, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
When dividing 300 by 90, we get 3 with a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 5851.83
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
90 can be fit into 300 3 times, resulting in a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 5851.833
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 5851.833 with a remainder of 0.003.