We're dividing 687189 by 90 
We want to figure out the number of times 687189 can be divided by 90.

Moving on to step 1:
The number 90 fits into 6 0 times, leaving 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.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 90

Going ahead to step 2:
68 divided by 90 is 0 with a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Include the next digit (7) from the dividend after 68, then repeat: 687 / 90

Let's proceed to step 3:
When dividing 687 by 90, we get 7 with a remainder of 57.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 630 from 687 leaves us with 57.
Include the next digit (1) from the dividend after 57, then repeat: 571 / 90

Advancing to step 4:
When dividing 571 by 90, we get 6 with a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtracting 540 from 571 leaves us with 31.
Append the next digit (8) from the dividend to 31 and continue with: 318 / 90

Let's proceed to step 5:
90 can be fit into 318 3 times, resulting in a remainder of 48.
The next digit of our result is 3. 
Result so far: 763.0
Deduct 270 from 318 and we're left with 48.
Grab the next digit (9) from the dividend, add it to 48, then carry on: 489 / 90

On to step 6:
90 goes into 489 5 times with a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 7635.0
Subtract 450 from 489 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 7:
90 goes into 390 4 times with a remainder of 30.
The next digit of our result is 4. 
Result so far: 7635.4
Subtract 360 from 390 to 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 8:
300 divided by 90 is 3 with a remainder of 30.
The next digit of our result is 3. 
Result so far: 7635.43
Subtracting 270 from 300 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.

Going ahead to step 9:
When dividing 300 by 90, we get 3 with a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 7635.433
Subtracting 270 from 300 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.

The final outcome is 7635.433, with a leftover of 0.003.