Let's divide 677330 by 90
We're looking to find how many times 90 goes into 677330.

Going ahead to step 1:
If we divide 6 by 90, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 90

Going ahead to step 2:
When dividing 67 by 90, we get 0 with a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Take the next digit (7) from the dividend and append it to 67, then repeat: 677 / 90

Let's proceed to step 3:
If we divide 677 by 90, we get 7 and a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 630 from 677 to get 47.
Take the next digit (3) from the dividend and append it to 47, then repeat: 473 / 90

Moving on to step 4:
When dividing 473 by 90, we get 5 with a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 75.0
If we subtract 450 from 473, we get 23.
Grab the next digit (3) from the dividend, add it to 23, then carry on: 233 / 90

Step 5:
If we divide 233 by 90, we get 2 and a remainder of 53.
Put 2 as the next digit of the answer. 
Result so far: 752.0
If we subtract 180 from 233, we get 53.
Include the next digit (0) from the dividend after 53, then repeat: 530 / 90

Advancing to step 6:
If we divide 530 by 90, we get 5 and a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 7525.0
If we subtract 450 from 530, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 7:
The number 90 fits into 800 8 times, leaving a remainder of 80.
Record the quotient 8 as the next digit in the result. 
Result so far: 7525.8
Subtract 720 from 800 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 8:
90 goes into 800 8 times with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 7525.88
The remainder is 80 after subtracting 720 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 7525.88 with a balance of 0.08.