Let's divide 161321 by 19
Our goal is to divide 161321 by 19.

Advancing to step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 19

Let's proceed to step 2:
If we divide 16 by 19, we get 0 and a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 19

Let's proceed to step 3:
19 goes into 161 8 times with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 152 from 161 to get 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 19

Advancing to step 4:
93 divided by 19 is 4 with a remainder of 17.
The next digit of our result is 4. 
Result so far: 84.0
If we subtract 76 from 93, we get 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 19

Going ahead to step 5:
19 goes into 172 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 849.0
Subtracting 171 from 172 leaves us with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 19

Step 6:
19 can be fit into 11 0 times, resulting in a remainder of 11.
The next digit of our result is 0. 
Result so far: 8490.0
If we take 0 away from 11, we end up with 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 7:
The number 19 fits into 110 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 8490.5
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.

Moving on to step 8:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 8490.57
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 9:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 8490.578
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.

Let's proceed to step 10:
The number 19 fits into 180 9 times, leaving a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 8490.5789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 11:
90 divided by 19 is 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 8490.57894
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
If we divide 140 by 19, we get 7 and a remainder of 7.
The next digit of our result is 7. 
Result so far: 8490.578947
If we take 133 away from 140, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 13:
If we divide 70 by 19, we get 3 and a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 8490.5789473
If we take 57 away from 70, we end up 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.

On to step 14:
19 goes into 130 6 times with a remainder of 16.
The next digit of our result is 6. 
Result so far: 8490.57894736
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.

In conclusion, the division gives 8490.57894736 with a balance of 1.6e-08.