We're dividing 421276 by 31 
We want to divide 421276 by 31.

Step 1:
When dividing 4 by 31, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 31

Advancing to step 2:
When dividing 42 by 31, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
If we take 31 away from 42, we end up with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 31

Going ahead to step 3:
31 goes into 111 3 times with a remainder of 18.
The next digit of our result is 3. 
Result so far: 13.0
If we take 93 away from 111, we end up with 18.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 31

Let's proceed to step 4:
182 divided by 31 is 5 with a remainder of 27.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
Subtracting 155 from 182 leaves us with 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 31

Step 5:
When dividing 277 by 31, we get 8 with a remainder of 29.
The number 8 becomes the next digit in our result. 
Result so far: 1358.0
The remainder is 29 after subtracting 248 from 277.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 31

On to step 6:
31 can be fit into 296 9 times, resulting in a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 13589.0
Subtracting 279 from 296 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.

Advancing to step 7:
31 can be fit into 170 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 13589.5
Deduct 155 from 170 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
The number 31 fits into 150 4 times, leaving a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 13589.54
If we subtract 124 from 150, we 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.

Advancing to step 9:
When dividing 260 by 31, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 13589.548
If we subtract 248 from 260, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
If we divide 120 by 31, we get 3 and a remainder of 27.
The next digit of our result is 3. 
Result so far: 13589.5483
If we take 93 away from 120, we end up 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.

Moving on to step 11:
If we divide 270 by 31, we get 8 and a remainder of 22.
The next digit of our result is 8. 
Result so far: 13589.54838
The remainder is 22 after subtracting 248 from 270.
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.
Use 7 as the next digit of our solution. 
Result so far: 13589.548387
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.

Going ahead 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: 13589.548387
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:
31 can be fit into 300 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 13589.54838709
If we take 279 away from 300, we end up 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 quotient of the division is 13589.54838709, and the remainder is 2.1e-08.