616599 ÷ 9 
We're looking to find how many times 9 goes into 616599.

Step 1:
9 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 9

Advancing to step 2:
9 goes into 61 6 times with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 54 from 61 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 9

On to step 3:
9 can be fit into 76 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 68.0
The remainder is 4 after subtracting 72 from 76.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 9

Going ahead to step 4:
When dividing 45 by 9, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 685.0
If we subtract 45 from 45, we get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 9

Going ahead to step 5:
When dividing 9 by 9, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 6851.0
The remainder is 0 after subtracting 9 from 9.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 9

On to step 6:
When dividing 9 by 9, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 68511.0
Deduct 9 from 9 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
If we divide 0 by 9, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 68511.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 9, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 68511.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 68511.0, and the remainder is 0.0.