675665 divided by 9 
We want to divide 675665 by 9.

Step 1:
9 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 9

Step 2:
If we divide 67 by 9, we get 7 and a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 63 away from 67, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 9

On to step 3:
When dividing 45 by 9, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 75.0
If we subtract 45 from 45, we get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 9

Advancing to step 4:
9 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 750.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 9

Let's proceed to step 5:
When dividing 66 by 9, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7507.0
If we subtract 63 from 66, we get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 9

Let's proceed to step 6:
When dividing 35 by 9, we get 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 75073.0
Deduct 27 from 35 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
The number 9 fits into 80 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 75073.8
Subtract 72 from 80 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
When dividing 80 by 9, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 75073.88
Subtracting 72 from 80 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 75073.88, and the remainder is 0.008.