Let's divide 183914 by 19
We're looking to find how many times 19 goes into 183914.

Moving on to step 1:
The number 19 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 19

Moving on to step 2:
When dividing 18 by 19, we get 0 with a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 18 and we're left with 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 19

Moving on to step 3:
The number 19 fits into 183 9 times, leaving a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 12 after subtracting 171 from 183.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 19

Moving on to step 4:
19 can be fit into 129 6 times, resulting in a remainder of 15.
The next digit of our result is 6. 
Result so far: 96.0
If we subtract 114 from 129, we get 15.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 19

Let's proceed to step 5:
19 goes into 151 7 times with a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 967.0
The remainder is 18 after subtracting 133 from 151.
Bring next digit (4) of the dividend behind the 18 and repeat the process: 184 / 19

On to step 6:
The number 19 fits into 184 9 times, leaving a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 9679.0
Subtracting 171 from 184 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
19 goes into 130 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 9679.6
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
When dividing 160 by 19, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 9679.68
Deduct 152 from 160 and we're left 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.

On to step 9:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 9679.684
If we take 76 away from 80, we end up 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.

Advancing to step 10:
40 divided by 19 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 9679.6842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
20 divided by 19 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 9679.68421
Deduct 19 from 20 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
If we divide 10 by 19, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9679.68421
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 9679.6842105
If we take 95 away from 100, we end up 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 14:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 9679.68421052
Deduct 38 from 50 and we're left 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.

After the division, we end up with 9679.68421052 and a remainder of 1.2e-08.