679777 divided by 90 
Our goal is to divide 679777 by 90.

Let's proceed to step 1:
90 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 90

Let's proceed to step 2:
If we divide 67 by 90, we get 0 and a remainder of 67.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Include the next digit (9) from the dividend after 67, then repeat: 679 / 90

On to step 3:
When dividing 679 by 90, we get 7 with a remainder of 49.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 630 from 679 leaves us with 49.
Bring next digit (7) of the dividend behind the 49 and repeat the process: 497 / 90

Going ahead to step 4:
90 can be fit into 497 5 times, resulting in a remainder of 47.
The next digit of our result is 5. 
Result so far: 75.0
Subtract 450 from 497 to get 47.
Bring next digit (7) of the dividend behind the 47 and repeat the process: 477 / 90

Let's proceed to step 5:
477 divided by 90 is 5 with a remainder of 27.
Record the quotient 5 as the next digit in the result. 
Result so far: 755.0
Subtracting 450 from 477 leaves us with 27.
Take the next digit (7) from the dividend and append it to 27, then repeat: 277 / 90

Moving on to step 6:
The number 90 fits into 277 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 7553.0
If we subtract 270 from 277, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
When dividing 70 by 90, we get 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 7553.0
If we subtract 0 from 70, 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.

Step 8:
The number 90 fits into 700 7 times, leaving a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 7553.07
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:
90 goes into 700 7 times with a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 7553.077
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.

The final result is 7553.077 with a remainder of 0.007.