Let's divide 31107 by 19
Our goal is to divide 31107 by 19.

Step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 19

Step 2:
If we divide 31 by 19, we get 1 and a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 19 from 31 and we're left with 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 19

Let's proceed to step 3:
19 can be fit into 121 6 times, resulting in a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we take 114 away from 121, we end up with 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 19

Let's proceed to step 4:
If we divide 70 by 19, we get 3 and a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 163.0
If we subtract 57 from 70, we get 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 19

Step 5:
If we divide 137 by 19, we get 7 and a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 1637.0
Deduct 133 from 137 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 6:
If we divide 40 by 19, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 1637.2
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
If we divide 20 by 19, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1637.21
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
When dividing 10 by 19, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1637.21
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
100 divided by 19 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1637.2105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
When dividing 50 by 19, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 1637.21052
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
If we divide 120 by 19, we get 6 and a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 1637.210526
Subtracting 114 from 120 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.

Step 12:
19 can be fit into 60 3 times, resulting in a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 1637.2105263
Subtract 57 from 60 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.

Advancing to step 13:
If we divide 30 by 19, we get 1 and a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1637.21052631
Subtract 19 from 30 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 1637.21052631 and a remainder of 1.1e-08.