We divide 355610 by 9
We want to figure out the number of times 355610 can be divided by 9.

Advancing to step 1:
9 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 9

Let's proceed to step 2:
The number 9 fits into 35 3 times, leaving a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 27 from 35 leaves us with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 9

Let's proceed to step 3:
If we divide 85 by 9, we get 9 and a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
The remainder is 4 after subtracting 81 from 85.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 9

On to step 4:
46 divided by 9 is 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 395.0
Deduct 45 from 46 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 9

Advancing to step 5:
9 can be fit into 11 1 times, resulting in a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 3951.0
The remainder is 2 after subtracting 9 from 11.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 9

Going ahead to step 6:
20 divided by 9 is 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 39512.0
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
20 divided by 9 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 39512.2
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
9 can be fit into 20 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 39512.22
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 39512.22, and the remainder is 0.002.