We divide 689512 by 90
We're looking to find how many times 90 goes into 689512.

Step 1:
90 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 90

On to step 2:
90 can be fit into 68 0 times, resulting in a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Grab the next digit (9) from the dividend, add it to 68, then carry on: 689 / 90

Step 3:
When dividing 689 by 90, we get 7 with a remainder of 59.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 630 from 689 to get 59.
Take the next digit (5) from the dividend and append it to 59, then repeat: 595 / 90

On to step 4:
If we divide 595 by 90, we get 6 and a remainder of 55.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtract 540 from 595 to get 55.
Bring next digit (1) of the dividend behind the 55 and repeat the process: 551 / 90

Moving on to step 5:
90 can be fit into 551 6 times, resulting in a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 766.0
The remainder is 11 after subtracting 540 from 551.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 90

Advancing to step 6:
112 divided by 90 is 1 with a remainder of 22.
The next digit of our result is 1. 
Result so far: 7661.0
Subtract 90 from 112 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
The number 90 fits into 220 2 times, leaving a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 7661.2
If we take 180 away from 220, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
400 divided by 90 is 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 7661.24
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
When dividing 400 by 90, we get 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 7661.244
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 7661.244 with a remainder of 0.004.