We're dividing 201873 by 19 
Our goal is to divide 201873 by 19.

Going ahead to step 1:
When dividing 2 by 19, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 19

Step 2:
When dividing 20 by 19, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 19 from 20 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 19

Step 3:
19 goes into 11 0 times with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 11 to get 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 19

Step 4:
The number 19 fits into 118 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 106.0
Deduct 114 from 118 and we're left with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 19

Moving on to step 5:
When dividing 47 by 19, we get 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 1062.0
Subtract 38 from 47 to get 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 19

Let's proceed to step 6:
19 can be fit into 93 4 times, resulting in a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 10624.0
If we subtract 76 from 93, 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.

Step 7:
170 divided by 19 is 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 10624.8
Subtracting 152 from 170 leaves us 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 8:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 10624.89
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
When dividing 90 by 19, we get 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 10624.894
Subtract 76 from 90 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
19 goes into 140 7 times with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 10624.8947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
19 can be fit into 70 3 times, resulting in a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 10624.89473
If we subtract 57 from 70, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 12:
130 divided by 19 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 10624.894736
Deduct 114 from 130 and we're left 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 13:
19 goes into 160 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 10624.8947368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 10624.89473684
Deduct 76 from 80 and we're left 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.

In conclusion, the division gives 10624.89473684 with a balance of 4e-09.