Let's divide 381961 by 19
Our goal is to divide 381961 by 19.

Moving on to step 1:
19 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 19

Advancing to step 2:
If we divide 38 by 19, we get 2 and a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 38 from 38 leaves us with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 19

Advancing to step 3:
1 divided by 19 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
If we take 0 away from 1, we end up with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 19

Step 4:
The number 19 fits into 19 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 201.0
If we take 19 away from 19, we end up with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 19

On to step 5:
19 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 2010.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 19

Let's proceed to step 6:
The number 19 fits into 61 3 times, leaving a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 20103.0
If we subtract 57 from 61, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
19 goes into 40 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 20103.2
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.

Let's proceed to step 8:
19 can be fit into 20 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 20103.21
If we take 19 away from 20, we end up 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.

Let's proceed to step 9:
If we divide 10 by 19, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 20103.21
If we take 0 away from 10, we end up 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 10:
100 divided by 19 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 20103.2105
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.

Step 11:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 20103.21052
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.

On to step 12:
If we divide 120 by 19, we get 6 and a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 20103.210526
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.

On to step 13:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 20103.2105263
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.

Let's proceed to step 14:
19 goes into 30 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 20103.21052631
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.

The final outcome is 20103.21052631, with a leftover of 1.1e-08.