513038 divided by 90 
We want to divide 513038 by 90.

Going ahead to step 1:
When dividing 5 by 90, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 90

Going ahead to step 2:
The number 90 fits into 51 0 times, leaving a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Include the next digit (3) from the dividend after 51, then repeat: 513 / 90

On to step 3:
The number 90 fits into 513 5 times, leaving a remainder of 63.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 450 from 513 to get 63.
Bring next digit (0) of the dividend behind the 63 and repeat the process: 630 / 90

Let's proceed to step 4:
630 divided by 90 is 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 57.0
The remainder is 0 after subtracting 630 from 630.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 90

On to step 5:
When dividing 3 by 90, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 570.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 90

Advancing to step 6:
When dividing 38 by 90, we get 0 with a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 5700.0
If we subtract 0 from 38, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
90 goes into 380 4 times with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 5700.4
Deduct 360 from 380 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
If we divide 200 by 90, we get 2 and a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 5700.42
If we subtract 180 from 200, we 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.

On to step 9:
If we divide 200 by 90, we get 2 and a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 5700.422
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 5700.422 with a balance of 0.002.