689672 ÷ 90 
We want to divide 689672 by 90.

Step 1:
90 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 90

Let's proceed to step 2:
90 goes into 68 0 times with a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Include the next digit (9) from the dividend after 68, then repeat: 689 / 90

Going ahead to step 3:
When dividing 689 by 90, we get 7 with a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 630 away from 689, we end up with 59.
Take the next digit (6) from the dividend and append it to 59, then repeat: 596 / 90

On to step 4:
90 can be fit into 596 6 times, resulting in a remainder of 56.
Put 6 as the next digit of the answer. 
Result so far: 76.0
If we subtract 540 from 596, we get 56.
Append the next digit (7) from the dividend to 56 and continue with: 567 / 90

Step 5:
The number 90 fits into 567 6 times, leaving a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 766.0
Subtracting 540 from 567 leaves us with 27.
Append the next digit (2) from the dividend to 27 and continue with: 272 / 90

Step 6:
272 divided by 90 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 7663.0
The remainder is 2 after subtracting 270 from 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
20 divided by 90 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 7663.0
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
200 divided by 90 is 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 7663.02
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
90 can be fit into 200 2 times, resulting in a remainder of 20.
The next digit of our result is 2. 
Result so far: 7663.022
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 7663.022 and a remainder of 0.002.