421569 ÷ 31 
We're looking to find how many times 31 goes into 421569.

Let's proceed to step 1:
31 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 31

Let's proceed to step 2:
31 can be fit into 42 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 31 from 42 to get 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 31

Step 3:
31 can be fit into 111 3 times, resulting in a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 93 from 111 leaves us with 18.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 31

On to step 4:
The number 31 fits into 185 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
Subtract 155 from 185 to get 30.
Include the next digit (6) from the dividend after 30, then repeat: 306 / 31

On to step 5:
31 can be fit into 306 9 times, resulting in a remainder of 27.
Record the quotient 9 as the next digit in the result. 
Result so far: 1359.0
Subtracting 279 from 306 leaves us with 27.
Append the next digit (9) from the dividend to 27 and continue with: 279 / 31

Step 6:
31 can be fit into 279 9 times, resulting in a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 13599.0
The remainder is 0 after subtracting 279 from 279.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
When dividing 0 by 31, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13599.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
0 divided by 31 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13599.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 13599.0, with a leftover of 0.0.