We look at the division of 689191 by 90 
We're looking to find how many times 90 goes into 689191.

Going ahead to step 1:
The number 90 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 90

Advancing to step 2:
The number 90 fits into 68 0 times, leaving a remainder of 68.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Take the next digit (9) from the dividend and append it to 68, then repeat: 689 / 90

Step 3:
90 can be fit into 689 7 times, resulting in a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 630 from 689 leaves us with 59.
Grab the next digit (1) from the dividend, add it to 59, then carry on: 591 / 90

Let's proceed to step 4:
If we divide 591 by 90, we get 6 and a remainder of 51.
Write down 6 as next digit of the result. 
Result so far: 76.0
Subtracting 540 from 591 leaves us with 51.
Fetch the next digit (9) from the dividend, attach it to 51 and continue: 519 / 90

Let's proceed to step 5:
90 goes into 519 5 times with a remainder of 69.
The number 5 becomes the next digit in our result. 
Result so far: 765.0
Subtract 450 from 519 to get 69.
Append the next digit (1) from the dividend to 69 and continue with: 691 / 90

Advancing to step 6:
The number 90 fits into 691 7 times, leaving a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 7657.0
The remainder is 61 after subtracting 630 from 691.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 7:
If we divide 610 by 90, we get 6 and a remainder of 70.
Use 6 as the next digit of our solution. 
Result so far: 7657.6
Subtracting 540 from 610 leaves us 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.

Let's proceed to step 8:
The number 90 fits into 700 7 times, leaving a remainder of 70.
The next digit of our result is 7. 
Result so far: 7657.67
The remainder is 70 after subtracting 630 from 700.
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:
The number 90 fits into 700 7 times, leaving a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 7657.677
Deduct 630 from 700 and we're left 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.

The final result is 7657.677 with a remainder of 0.007.