507777 divided by 90 
We're looking to find how many times 90 goes into 507777.

Going ahead to step 1:
90 goes into 5 0 times 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 (0) of the dividend behind the 5 and repeat the process: 50 / 90

Let's proceed to step 2:
The number 90 fits into 50 0 times, leaving a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Fetch the next digit (7) from the dividend, attach it to 50 and continue: 507 / 90

Going ahead to step 3:
When dividing 507 by 90, we get 5 with a remainder of 57.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 57 after subtracting 450 from 507.
Include the next digit (7) from the dividend after 57, then repeat: 577 / 90

Moving on to step 4:
If we divide 577 by 90, we get 6 and a remainder of 37.
Use 6 as the next digit of our solution. 
Result so far: 56.0
Subtract 540 from 577 to get 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 90

Going ahead to step 5:
When dividing 377 by 90, we get 4 with a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 564.0
Deduct 360 from 377 and we're left with 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 90

On to step 6:
177 divided by 90 is 1 with a remainder of 87.
The number 1 becomes the next digit in our result. 
Result so far: 5641.0
The remainder is 87 after subtracting 90 from 177.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Step 7:
The number 90 fits into 870 9 times, leaving a remainder of 60.
Use 9 as the next digit of our solution. 
Result so far: 5641.9
Subtract 810 from 870 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 8:
90 goes into 600 6 times with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 5641.96
If we subtract 540 from 600, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 9:
If we divide 600 by 90, we get 6 and a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 5641.966
If we subtract 540 from 600, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

In conclusion, the division gives 5641.966 with a balance of 0.006.