We divide 779503 by 90
Our goal is to divide 779503 by 90.

On to step 1:
90 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 90

Advancing to step 2:
77 divided by 90 is 0 with a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Bring next digit (9) of the dividend behind the 77 and repeat the process: 779 / 90

Going ahead to step 3:
When dividing 779 by 90, we get 8 with a remainder of 59.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 59 after subtracting 720 from 779.
Fetch the next digit (5) from the dividend, attach it to 59 and continue: 595 / 90

Advancing to step 4:
The number 90 fits into 595 6 times, leaving a remainder of 55.
Record the quotient 6 as the next digit in the result. 
Result so far: 86.0
Subtract 540 from 595 to get 55.
Fetch the next digit (0) from the dividend, attach it to 55 and continue: 550 / 90

Let's proceed to step 5:
550 divided by 90 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 866.0
Subtract 540 from 550 to get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 90

Going ahead to step 6:
If we divide 103 by 90, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 8661.0
The remainder is 13 after subtracting 90 from 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
90 can be fit into 130 1 times, resulting in a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 8661.1
If we subtract 90 from 130, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
If we divide 400 by 90, we get 4 and a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 8661.14
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
The number 90 fits into 400 4 times, leaving a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 8661.144
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 8661.144, and the remainder is 0.004.