We divide 116414 by 19
We're looking to find how many times 19 goes into 116414.

Going ahead to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 19

On to step 2:
When dividing 11 by 19, we get 0 with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 19

Let's proceed to step 3:
116 divided by 19 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 2 after subtracting 114 from 116.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 19

On to step 4:
The number 19 fits into 24 1 times, leaving a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Deduct 19 from 24 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 19

Let's proceed to step 5:
19 can be fit into 51 2 times, resulting in a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 612.0
If we take 38 away from 51, we end up with 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 19

Advancing to step 6:
If we divide 134 by 19, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 6127.0
The remainder is 1 after subtracting 133 from 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 19, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6127.0
Subtracting 0 from 10 leaves us with 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 8:
When dividing 100 by 19, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 6127.05
Deduct 95 from 100 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.

On to step 9:
If we divide 50 by 19, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 6127.052
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.

Going ahead to step 10:
If we divide 120 by 19, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 6127.0526
Deduct 114 from 120 and we're left 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.

Going ahead to step 11:
If we divide 60 by 19, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 6127.05263
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.

Step 12:
19 goes into 30 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 6127.052631
If we take 19 away from 30, we end up 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.

Going ahead to step 13:
19 goes into 110 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 6127.0526315
If we take 95 away from 110, we end up 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.

Step 14:
When dividing 150 by 19, we get 7 with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 6127.05263157
If we subtract 133 from 150, 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.

In conclusion, the division gives 6127.05263157 with a balance of 1.7e-08.