We look at the division of 536975 by 90 
We want to divide 536975 by 90.

Going ahead to step 1:
90 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 90

Moving on to step 2:
The number 90 fits into 53 0 times, leaving a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 53 to get 53.
Take the next digit (6) from the dividend and append it to 53, then repeat: 536 / 90

Moving on to step 3:
90 goes into 536 5 times with a remainder of 86.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 450 from 536 and we're left with 86.
Append the next digit (9) from the dividend to 86 and continue with: 869 / 90

Moving on to step 4:
If we divide 869 by 90, we get 9 and a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we take 810 away from 869, we end up with 59.
Fetch the next digit (7) from the dividend, attach it to 59 and continue: 597 / 90

Advancing to step 5:
When dividing 597 by 90, we get 6 with a remainder of 57.
Record the quotient 6 as the next digit in the result. 
Result so far: 596.0
If we subtract 540 from 597, we get 57.
Fetch the next digit (5) from the dividend, attach it to 57 and continue: 575 / 90

Let's proceed to step 6:
90 goes into 575 6 times with a remainder of 35.
Record the quotient 6 as the next digit in the result. 
Result so far: 5966.0
If we subtract 540 from 575, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
If we divide 350 by 90, we get 3 and a remainder of 80.
The next digit of our result is 3. 
Result so far: 5966.3
If we subtract 270 from 350, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 8:
90 can be fit into 800 8 times, resulting in a remainder of 80.
Put 8 as the next digit of the answer. 
Result so far: 5966.38
Deduct 720 from 800 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 9:
If we divide 800 by 90, we get 8 and a remainder of 80.
Write down 8 as next digit of the result. 
Result so far: 5966.388
Subtracting 720 from 800 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 5966.388 with a balance of 0.008.