We're dividing 676821 by 90 
Let's see how many times 90 fits into 676821.

Moving on to step 1:
When dividing 6 by 90, we get 0 with 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

Moving on 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
Subtracting 0 from 67 leaves us with 67.
Include the next digit (6) from the dividend after 67, then repeat: 676 / 90

Let's proceed to step 3:
The number 90 fits into 676 7 times, leaving a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 46 after subtracting 630 from 676.
Take the next digit (8) from the dividend and append it to 46, then repeat: 468 / 90

Let's proceed to step 4:
When dividing 468 by 90, we get 5 with a remainder of 18.
Use 5 as the next digit of our solution. 
Result so far: 75.0
Subtract 450 from 468 to get 18.
Append the next digit (2) from the dividend to 18 and continue with: 182 / 90

Advancing to step 5:
182 divided by 90 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 752.0
Subtracting 180 from 182 leaves us with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 90

Step 6:
When dividing 21 by 90, we get 0 with a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 7520.0
Subtract 0 from 21 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
If we divide 210 by 90, we get 2 and a remainder of 30.
The next digit of our result is 2. 
Result so far: 7520.2
Subtracting 180 from 210 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
300 divided by 90 is 3 with a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 7520.23
If we subtract 270 from 300, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
If we divide 300 by 90, we get 3 and a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 7520.233
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 7520.233, with a leftover of 0.003.