We're dividing 19135 by 31 
Let's see how many times 31 fits into 19135.

Going ahead to step 1:
31 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 31

Let's proceed to step 2:
If we divide 19 by 31, we get 0 and a remainder of 19.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 19, we get 19.
Take the next digit (1) from the dividend and append it to 19, then repeat: 191 / 31

Moving on to step 3:
31 goes into 191 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 5 after subtracting 186 from 191.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 31

Step 4:
When dividing 53 by 31, we get 1 with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 61.0
If we take 31 away from 53, we end up with 22.
Grab the next digit (5) from the dividend, add it to 22, then carry on: 225 / 31

Let's proceed to step 5:
If we divide 225 by 31, we get 7 and a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 617.0
Subtracting 217 from 225 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 6:
If we divide 80 by 31, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 617.2
If we take 62 away from 80, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
31 can be fit into 180 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 617.25
The remainder is 25 after subtracting 155 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
The number 31 fits into 250 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 617.258
Subtracting 248 from 250 leaves us 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.

Step 9:
20 divided by 31 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 617.258
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
200 divided by 31 is 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 617.25806
Subtracting 186 from 200 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
If we divide 140 by 31, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 617.258064
Subtracting 124 from 140 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
If we divide 160 by 31, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 617.2580645
Deduct 155 from 160 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 13:
31 can be fit into 50 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 617.25806451
Subtract 31 from 50 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Our division results in 617.25806451 with a remaining 1.9e-08.