We look at the division of 603538 by 90 
We want to divide 603538 by 90.

On to step 1:
6 divided by 90 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 90

Going ahead to step 2:
If we divide 60 by 90, we get 0 and a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 60 to get 60.
Bring next digit (3) of the dividend behind the 60 and repeat the process: 603 / 90

Let's proceed to step 3:
If we divide 603 by 90, we get 6 and a remainder of 63.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 540 from 603 to get 63.
Bring next digit (5) of the dividend behind the 63 and repeat the process: 635 / 90

On to step 4:
635 divided by 90 is 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 67.0
The remainder is 5 after subtracting 630 from 635.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 90

Let's proceed to step 5:
90 can be fit into 53 0 times, resulting in a remainder of 53.
Put 0 as the next digit of the answer. 
Result so far: 670.0
If we take 0 away from 53, we end up with 53.
Bring next digit (8) of the dividend behind the 53 and repeat the process: 538 / 90

Moving on to step 6:
The number 90 fits into 538 5 times, leaving a remainder of 88.
The number 5 becomes the next digit in our result. 
Result so far: 6705.0
If we take 450 away from 538, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 7:
90 goes into 880 9 times with a remainder of 70.
Write down 9 as next digit of the result. 
Result so far: 6705.9
The remainder is 70 after subtracting 810 from 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 8:
90 can be fit into 700 7 times, resulting in a remainder of 70.
Record the quotient 7 as the next digit in the result. 
Result so far: 6705.97
If we take 630 away from 700, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 9:
The number 90 fits into 700 7 times, leaving a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 6705.977
If we subtract 630 from 700, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

In conclusion, the division gives 6705.977 with a balance of 0.007.