We look at the division of 421617 by 31 
We're looking to find how many times 31 goes into 421617.

On to step 1:
If we divide 4 by 31, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 31

Moving on to step 2:
When dividing 42 by 31, we get 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 31 away from 42, we end up with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 31

Let's proceed to step 3:
If we divide 111 by 31, we get 3 and a remainder of 18.
The next digit of our result is 3. 
Result so far: 13.0
Subtract 93 from 111 to get 18.
Bring next digit (6) of the dividend behind the 18 and repeat the process: 186 / 31

On to step 4:
When dividing 186 by 31, we get 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 136.0
The remainder is 0 after subtracting 186 from 186.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 31

Step 5:
31 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 1360.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 31

Let's proceed to step 6:
The number 31 fits into 17 0 times, leaving a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 13600.0
Subtracting 0 from 17 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
170 divided by 31 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 13600.5
Subtract 155 from 170 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
150 divided by 31 is 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 13600.54
Subtract 124 from 150 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
When dividing 260 by 31, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 13600.548
The remainder is 12 after subtracting 248 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
31 goes into 120 3 times with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 13600.5483
The remainder is 27 after subtracting 93 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 11:
270 divided by 31 is 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 13600.54838
Subtract 248 from 270 to 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.

Going ahead to step 12:
31 goes into 220 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 13600.548387
If we subtract 217 from 220, we 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 13:
30 divided by 31 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 13600.548387
Subtract 0 from 30 to 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.

Going ahead to step 14:
The number 31 fits into 300 9 times, leaving a remainder of 21.
The next digit of our result is 9. 
Result so far: 13600.54838709
Subtracting 279 from 300 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 13600.54838709 with a remainder of 2.1e-08.