Let's divide 421654 by 31
We're looking to find how many times 31 goes into 421654.

Let's proceed 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.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 31

On to step 2:
If we divide 42 by 31, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 31 from 42 leaves us with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 31

Let's proceed to step 3:
If we divide 111 by 31, we get 3 and a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 93 from 111, we get 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 31

Step 4:
When dividing 186 by 31, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
The remainder is 0 after subtracting 186 from 186.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 31

Let's proceed to step 5:
31 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 1360.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 31

On to step 6:
When dividing 54 by 31, we get 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 13601.0
The remainder is 23 after subtracting 31 from 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
230 divided by 31 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 13601.7
Deduct 217 from 230 and we're left 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.

On to step 8:
31 can be fit into 130 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 13601.74
Subtracting 124 from 130 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
When dividing 60 by 31, we get 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 13601.741
Subtracting 31 from 60 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 10:
31 can be fit into 290 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 13601.7419
The remainder is 11 after subtracting 279 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
31 can be fit into 110 3 times, resulting in a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 13601.74193
If we subtract 93 from 110, we get 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 12:
If we divide 170 by 31, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 13601.741935
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.

Moving on to step 13:
When dividing 150 by 31, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 13601.7419354
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.

Moving on to step 14:
The number 31 fits into 260 8 times, leaving a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 13601.74193548
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.

The final result is 13601.74193548 with a remainder of 1.2e-08.