We look at the division of 688516 by 90 
We want to divide 688516 by 90.

On to step 1:
6 divided by 90 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 90

On to step 2:
If we divide 68 by 90, we get 0 and a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Bring next digit (8) of the dividend behind the 68 and repeat the process: 688 / 90

On to step 3:
90 goes into 688 7 times with a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 630 from 688 and we're left with 58.
Bring next digit (5) of the dividend behind the 58 and repeat the process: 585 / 90

Step 4:
90 goes into 585 6 times with a remainder of 45.
Put 6 as the next digit of the answer. 
Result so far: 76.0
Deduct 540 from 585 and we're left with 45.
Fetch the next digit (1) from the dividend, attach it to 45 and continue: 451 / 90

Let's proceed to step 5:
When dividing 451 by 90, we get 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 765.0
If we subtract 450 from 451, we get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 90

On to step 6:
16 divided by 90 is 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 7650.0
Deduct 0 from 16 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
The number 90 fits into 160 1 times, leaving a remainder of 70.
Use 1 as the next digit of our solution. 
Result so far: 7650.1
Subtract 90 from 160 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 8:
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: 7650.17
If we subtract 630 from 700, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 9:
When dividing 700 by 90, we get 7 with a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 7650.177
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.

The final result is 7650.177 with a remainder of 0.007.