We look at the division of 356806 by 9 
We want to figure out the number of times 356806 can be divided by 9.

On to step 1:
3 divided by 9 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 9

On to step 2:
9 goes into 35 3 times with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 27 from 35, we get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

Step 3:
The number 9 fits into 86 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 39.0
The remainder is 5 after subtracting 81 from 86.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 9

Going ahead to step 4:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 396.0
Subtracting 54 from 58 leaves us with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 9

Step 5:
When dividing 40 by 9, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 3964.0
If we take 36 away from 40, we end up with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 9

Going ahead to step 6:
9 can be fit into 46 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 39645.0
The remainder is 1 after subtracting 45 from 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
If we divide 10 by 9, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 39645.1
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
When dividing 10 by 9, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 39645.11
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 39645.11, and the remainder is 0.001.