Let's divide 419691 by 31
We want to figure out the number of times 419691 can be divided by 31.

Going ahead to step 1:
The number 31 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 31

Going ahead to step 2:
41 divided by 31 is 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 31 from 41, we get 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 31

Moving on to step 3:
When dividing 109 by 31, we get 3 with a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 93 from 109 to get 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 31

Let's proceed to step 4:
31 goes into 166 5 times with a remainder of 11.
The next digit of our result is 5. 
Result so far: 135.0
If we subtract 155 from 166, we get 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 31

Step 5:
When dividing 119 by 31, we get 3 with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 1353.0
If we take 93 away from 119, we end up with 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 31

On to step 6:
31 goes into 261 8 times with a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 13538.0
If we subtract 248 from 261, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
The number 31 fits into 130 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 13538.4
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.

Moving on to step 8:
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: 13538.41
If we take 31 away from 60, 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.

Let's proceed to step 9:
290 divided by 31 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 13538.419
Deduct 279 from 290 and we're left 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.

On to step 10:
The number 31 fits into 110 3 times, leaving a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 13538.4193
The remainder is 17 after subtracting 93 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 11:
31 can be fit into 170 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 13538.41935
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.

On to step 12:
150 divided by 31 is 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 13538.419354
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.

Let's proceed to step 13:
If we divide 260 by 31, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 13538.4193548
Subtracting 248 from 260 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
The number 31 fits into 120 3 times, leaving a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 13538.41935483
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.

The quotient of the division is 13538.41935483, and the remainder is 2.7e-08.