Let's divide 419614 by 31
Our goal is to divide 419614 by 31.

Moving on to 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
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 31

Going ahead to step 2:
The number 31 fits into 41 1 times, leaving a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 31 from 41 and we're left with 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 31

Going ahead to step 3:
The number 31 fits into 109 3 times, leaving a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 93 away from 109, we end up with 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 31

Let's proceed to step 4:
The number 31 fits into 166 5 times, leaving a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
Subtract 155 from 166 to get 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 31

Step 5:
111 divided by 31 is 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 1353.0
Subtracting 93 from 111 leaves us with 18.
Append the next digit (4) from the dividend to 18 and continue with: 184 / 31

Moving on to step 6:
When dividing 184 by 31, we get 5 with a remainder of 29.
The number 5 becomes the next digit in our result. 
Result so far: 13535.0
If we take 155 away from 184, we end up 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.

On to step 7:
290 divided by 31 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 13535.9
Subtracting 279 from 290 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
31 can be fit into 110 3 times, resulting in a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 13535.93
Deduct 93 from 110 and we're left 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 9:
31 goes into 170 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 13535.935
Subtracting 155 from 170 leaves us 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.

Advancing to step 10:
31 can be fit into 150 4 times, resulting in a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 13535.9354
Subtracting 124 from 150 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 11:
260 divided by 31 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 13535.93548
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.

Step 12:
When dividing 120 by 31, we get 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 13535.935483
Subtract 93 from 120 to get 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 13:
31 can be fit into 270 8 times, resulting in a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 13535.9354838
If we subtract 248 from 270, we 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.

Let's proceed to step 14:
31 can be fit into 220 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 13535.93548387
Subtracting 217 from 220 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 13535.93548387 with a balance of 3e-09.