We look at the division of 175821 by 19 
We want to divide 175821 by 19.

On to step 1:
19 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 19

Moving on to step 2:
If we divide 17 by 19, we get 0 and a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 19

Let's proceed to step 3:
When dividing 175 by 19, we get 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 171 from 175 to get 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 19

Step 4:
48 divided by 19 is 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 92.0
If we subtract 38 from 48, we get 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 19

Moving on to step 5:
19 goes into 102 5 times with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 925.0
The remainder is 7 after subtracting 95 from 102.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 19

Let's proceed to step 6:
19 goes into 71 3 times with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 9253.0
If we subtract 57 from 71, we 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.

Let's proceed to step 7:
The number 19 fits into 140 7 times, leaving a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 9253.7
Subtract 133 from 140 to 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 8:
When dividing 70 by 19, we get 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 9253.73
Deduct 57 from 70 and we're left 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.

Advancing to step 9:
130 divided by 19 is 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 9253.736
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.

Let's proceed to step 10:
When dividing 160 by 19, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 9253.7368
Subtracting 152 from 160 leaves us 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.

Step 11:
19 goes into 80 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 9253.73684
Subtract 76 from 80 to 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.

On to step 12:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 9253.736842
Deduct 38 from 40 and we're left 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.

Step 13:
If we divide 20 by 19, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 9253.7368421
The remainder is 1 after subtracting 19 from 20.
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 14:
When dividing 10 by 19, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9253.7368421
Deduct 0 from 10 and we're left 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.

In conclusion, the division gives 9253.7368421 with a balance of 1e-08.