We're dividing 564843 by 413 
We're looking to find how many times 413 goes into 564843.

Let's proceed to step 1:
5 divided by 413 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 413

Advancing to step 2:
56 divided by 413 is 0 with a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Take the next digit (4) from the dividend and append it to 56, then repeat: 564 / 413

Advancing to step 3:
If we divide 564 by 413, we get 1 and a remainder of 151.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 151 after subtracting 413 from 564.
Fetch the next digit (8) from the dividend, attach it to 151 and continue: 1518 / 413

Step 4:
413 can be fit into 1518 3 times, resulting in a remainder of 279.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 1239 from 1518 leaves us with 279.
Fetch the next digit (4) from the dividend, attach it to 279 and continue: 2794 / 413

Step 5:
2794 divided by 413 is 6 with a remainder of 316.
Put 6 as the next digit of the answer. 
Result so far: 136.0
Deduct 2478 from 2794 and we're left with 316.
Fetch the next digit (3) from the dividend, attach it to 316 and continue: 3163 / 413

Advancing to step 6:
If we divide 3163 by 413, we get 7 and a remainder of 272.
The number 7 becomes the next digit in our result. 
Result so far: 1367.0
Subtracting 2891 from 3163 leaves us with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

On to step 7:
If we divide 2720 by 413, we get 6 and a remainder of 242.
The next digit of our result is 6. 
Result so far: 1367.6
The remainder is 242 after subtracting 2478 from 2720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2420, and continue the process.

On to step 8:
If we divide 2420 by 413, we get 5 and a remainder of 355.
Record the quotient 5 as the next digit in the result. 
Result so far: 1367.65
If we take 2065 away from 2420, we end up with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Moving on to step 9:
3550 divided by 413 is 8 with a remainder of 246.
Put 8 as the next digit of the answer. 
Result so far: 1367.658
The remainder is 246 after subtracting 3304 from 3550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Advancing to step 10:
The number 413 fits into 2460 5 times, leaving a remainder of 395.
The number 5 becomes the next digit in our result. 
Result so far: 1367.6585
If we subtract 2065 from 2460, we get 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

On to step 11:
413 goes into 3950 9 times with a remainder of 233.
Record the quotient 9 as the next digit in the result. 
Result so far: 1367.65859
The remainder is 233 after subtracting 3717 from 3950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2330, and continue the process.

Advancing to step 12:
2330 divided by 413 is 5 with a remainder of 265.
Use 5 as the next digit of our solution. 
Result so far: 1367.658595
Subtracting 2065 from 2330 leaves us with 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

On to step 13:
413 can be fit into 2650 6 times, resulting in a remainder of 172.
The next digit of our result is 6. 
Result so far: 1367.6585956
If we take 2478 away from 2650, we end up with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Step 14:
413 goes into 1720 4 times with a remainder of 68.
The next digit of our result is 4. 
Result so far: 1367.65859564
The remainder is 68 after subtracting 1652 from 1720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Our division results in 1367.65859564 with a remaining 6.8e-08.