129436 ÷ 564 
We're looking to find how many times 564 goes into 129436.

Let's proceed to step 1:
The number 564 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 564

Let's proceed to step 2:
12 divided by 564 is 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 564

Going ahead to step 3:
The number 564 fits into 129 0 times, leaving a remainder of 129.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 129 to get 129.
Append the next digit (4) from the dividend to 129 and continue with: 1294 / 564

Step 4:
564 goes into 1294 2 times with a remainder of 166.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 1128 from 1294, we get 166.
Include the next digit (3) from the dividend after 166, then repeat: 1663 / 564

Let's proceed to step 5:
1663 divided by 564 is 2 with a remainder of 535.
Put 2 as the next digit of the answer. 
Result so far: 22.0
If we subtract 1128 from 1663, we get 535.
Bring next digit (6) of the dividend behind the 535 and repeat the process: 5356 / 564

Step 6:
5356 divided by 564 is 9 with a remainder of 280.
The number 9 becomes the next digit in our result. 
Result so far: 229.0
If we take 5076 away from 5356, we end up with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Let's proceed to step 7:
When dividing 2800 by 564, we get 4 with a remainder of 544.
The next digit of our result is 4. 
Result so far: 229.4
If we take 2256 away from 2800, we end up with 544.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

Step 8:
564 goes into 5440 9 times with a remainder of 364.
Use 9 as the next digit of our solution. 
Result so far: 229.49
If we subtract 5076 from 5440, we get 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

Let's proceed to step 9:
3640 divided by 564 is 6 with a remainder of 256.
Write down 6 as next digit of the result. 
Result so far: 229.496
Subtracting 3384 from 3640 leaves us with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Step 10:
564 can be fit into 2560 4 times, resulting in a remainder of 304.
The number 4 becomes the next digit in our result. 
Result so far: 229.4964
Subtract 2256 from 2560 to get 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Advancing to step 11:
The number 564 fits into 3040 5 times, leaving a remainder of 220.
Record the quotient 5 as the next digit in the result. 
Result so far: 229.49645
Subtracting 2820 from 3040 leaves us with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Advancing to step 12:
The number 564 fits into 2200 3 times, leaving a remainder of 508.
Put 3 as the next digit of the answer. 
Result so far: 229.496453
Deduct 1692 from 2200 and we're left with 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

Step 13:
If we divide 5080 by 564, we get 9 and a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 229.4964539
Subtract 5076 from 5080 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 14:
When dividing 40 by 564, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 229.4964539
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 229.4964539 and a remainder of 4e-08.