We divide 114100 by 19
We want to figure out the number of times 114100 can be divided by 19.

Advancing to step 1:
19 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 19

Going ahead to step 2:
11 divided by 19 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 19

Going ahead to step 3:
114 divided by 19 is 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 114 away from 114, we end up with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 19

Advancing to step 4:
1 divided by 19 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 19

Step 5:
When dividing 10 by 19, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 600.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 19

Advancing to step 6:
100 divided by 19 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 6005.0
The remainder is 5 after subtracting 95 from 100.
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 7:
50 divided by 19 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 6005.2
If we take 38 away from 50, we end up 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.

Going ahead to step 8:
120 divided by 19 is 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 6005.26
If we subtract 114 from 120, we get 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 9:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 6005.263
Subtracting 57 from 60 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.

Going ahead to step 10:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 6005.2631
If we subtract 19 from 30, we 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.

Step 11:
The number 19 fits into 110 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 6005.26315
If we subtract 95 from 110, we get 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:
If we divide 150 by 19, we get 7 and a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 6005.263157
If we take 133 away from 150, we end up 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.

On to step 13:
19 can be fit into 170 8 times, resulting in a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 6005.2631578
If we take 152 away from 170, 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.

Moving on to step 14:
19 can be fit into 180 9 times, resulting in a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 6005.26315789
Subtract 171 from 180 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 6005.26315789, and the remainder is 9e-09.