129566 ÷ 9 
Our goal is to divide 129566 by 9.

Step 1:
1 divided by 9 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 9

Going ahead to step 2:
The number 9 fits into 12 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 9 from 12 and we're left with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 9

On to step 3:
When dividing 39 by 9, we get 4 with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we take 36 away from 39, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 9

Advancing to step 4:
The number 9 fits into 35 3 times, leaving a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 143.0
Deduct 27 from 35 and we're left with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 9

Step 5:
The number 9 fits into 86 9 times, leaving a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 1439.0
Deduct 81 from 86 and we're left with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 9

Moving on to step 6:
9 goes into 56 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 14396.0
The remainder is 2 after subtracting 54 from 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 9, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 14396.2
If we take 18 away from 20, we end up 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.

On to step 8:
When dividing 20 by 9, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 14396.22
Subtracting 18 from 20 leaves us 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.

The quotient of the division is 14396.22, and the remainder is 0.002.