563421 ÷ 31 
We're looking to find how many times 31 goes into 563421.

Moving on to step 1:
When dividing 5 by 31, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 31

Let's proceed to step 2:
56 divided by 31 is 1 with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 31 from 56, we get 25.
Take the next digit (3) from the dividend and append it to 25, then repeat: 253 / 31

Step 3:
The number 31 fits into 253 8 times, leaving a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtract 248 from 253 to get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 31

Moving on to step 4:
54 divided by 31 is 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 181.0
Subtracting 31 from 54 leaves us with 23.
Grab the next digit (2) from the dividend, add it to 23, then carry on: 232 / 31

Let's proceed to step 5:
31 goes into 232 7 times with a remainder of 15.
The next digit of our result is 7. 
Result so far: 1817.0
Subtracting 217 from 232 leaves us with 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 31

Moving on to step 6:
If we divide 151 by 31, we get 4 and a remainder of 27.
The next digit of our result is 4. 
Result so far: 18174.0
Subtracting 124 from 151 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 7:
270 divided by 31 is 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 18174.8
If we subtract 248 from 270, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
The number 31 fits into 220 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 18174.87
Subtract 217 from 220 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
30 divided by 31 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 18174.87
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
31 goes into 300 9 times with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 18174.8709
If we subtract 279 from 300, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 11:
The number 31 fits into 210 6 times, leaving a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 18174.87096
Subtracting 186 from 210 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
31 can be fit into 240 7 times, resulting in a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 18174.870967
If we take 217 away from 240, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 13:
31 goes into 230 7 times with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 18174.8709677
Subtracting 217 from 230 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 18174.8709677 with a balance of 1.3e-07.