We look at the division of 689394 by 90 
We're looking to find how many times 90 goes into 689394.

Step 1:
6 divided by 90 is 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.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 90

Advancing to step 2:
68 divided by 90 is 0 with a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 68 leaves us with 68.
Take the next digit (9) from the dividend and append it to 68, then repeat: 689 / 90

Advancing to step 3:
689 divided by 90 is 7 with a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 630 away from 689, we end up with 59.
Include the next digit (3) from the dividend after 59, then repeat: 593 / 90

Step 4:
90 goes into 593 6 times with a remainder of 53.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtract 540 from 593 to get 53.
Include the next digit (9) from the dividend after 53, then repeat: 539 / 90

Let's proceed to step 5:
The number 90 fits into 539 5 times, leaving a remainder of 89.
Put 5 as the next digit of the answer. 
Result so far: 765.0
Subtracting 450 from 539 leaves us with 89.
Include the next digit (4) from the dividend after 89, then repeat: 894 / 90

Let's proceed to step 6:
90 can be fit into 894 9 times, resulting in a remainder of 84.
The next digit of our result is 9. 
Result so far: 7659.0
Subtract 810 from 894 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 7:
If we divide 840 by 90, we get 9 and a remainder of 30.
Use 9 as the next digit of our solution. 
Result so far: 7659.9
The remainder is 30 after subtracting 810 from 840.
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:
90 can be fit into 300 3 times, resulting in a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 7659.93
Subtract 270 from 300 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.

Let's proceed to step 9:
If we divide 300 by 90, we get 3 and a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 7659.933
Subtract 270 from 300 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.

Our division results in 7659.933 with a remaining 0.003.