617944 ÷ 9 
We want to divide 617944 by 9.

On to step 1:
When dividing 6 by 9, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 9

On to step 2:
61 divided by 9 is 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 54 from 61 leaves us with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 9

Moving on to step 3:
When dividing 77 by 9, we get 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 68.0
Deduct 72 from 77 and we're left with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 9

Step 4:
59 divided by 9 is 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 686.0
Subtract 54 from 59 to get 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 9

Going ahead to step 5:
The number 9 fits into 54 6 times, leaving a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6866.0
If we subtract 54 from 54, we get 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 9

Let's proceed to step 6:
4 divided by 9 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 68660.0
Subtracting 0 from 4 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
The number 9 fits into 40 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 68660.4
Subtract 36 from 40 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
When dividing 40 by 9, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 68660.44
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 68660.44, and the remainder is 0.004.