We look at the division of 412593 by 31 
We're looking to find how many times 31 goes into 412593.

Going ahead to step 1:
31 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 31

Step 2:
If we divide 41 by 31, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 31 from 41 to get 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 31

Let's proceed to step 3:
If we divide 102 by 31, we get 3 and a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 93 away from 102, we end up with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 31

On to step 4:
The number 31 fits into 95 3 times, leaving a remainder of 2.
The next digit of our result is 3. 
Result so far: 133.0
If we subtract 93 from 95, we get 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 31

Step 5:
29 divided by 31 is 0 with a remainder of 29.
Record the quotient 0 as the next digit in the result. 
Result so far: 1330.0
Subtract 0 from 29 to get 29.
Append the next digit (3) from the dividend to 29 and continue with: 293 / 31

Step 6:
When dividing 293 by 31, we get 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 13309.0
If we take 279 away from 293, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
140 divided by 31 is 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 13309.4
The remainder is 16 after subtracting 124 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
The number 31 fits into 160 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 13309.45
Deduct 155 from 160 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
If we divide 50 by 31, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 13309.451
If we subtract 31 from 50, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 10:
190 divided by 31 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 13309.4516
Subtracting 186 from 190 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
31 goes into 40 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 13309.45161
The remainder is 9 after subtracting 31 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
31 goes into 90 2 times with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 13309.451612
Subtracting 62 from 90 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 13:
The number 31 fits into 280 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 13309.4516129
Deduct 279 from 280 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 14:
31 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 13309.4516129
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 13309.4516129, and the remainder is 1e-08.