We're dividing 173967 by 19 
We want to figure out the number of times 173967 can be divided by 19.

Advancing to step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 19

On to step 2:
The number 19 fits into 17 0 times, leaving a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 19

On to step 3:
If we divide 173 by 19, we get 9 and a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 171 from 173 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 19

Let's proceed to step 4:
19 goes into 29 1 times with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 91.0
The remainder is 10 after subtracting 19 from 29.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 19

Advancing to step 5:
The number 19 fits into 106 5 times, leaving a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 915.0
The remainder is 11 after subtracting 95 from 106.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 19

Advancing to step 6:
If we divide 117 by 19, we get 6 and a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 9156.0
If we take 114 away from 117, we end up 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.

Step 7:
19 can be fit into 30 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 9156.1
If we take 19 away from 30, 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.

Moving on to step 8:
19 goes into 110 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 9156.15
Subtracting 95 from 110 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
When dividing 150 by 19, we get 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 9156.157
Subtracting 133 from 150 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 10:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 9156.1578
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.

Step 11:
19 can be fit into 180 9 times, resulting in a remainder of 9.
The next digit of our result is 9. 
Result so far: 9156.15789
Deduct 171 from 180 and we're left 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.

On to step 12:
90 divided by 19 is 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 9156.157894
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.

On to step 13:
19 goes into 140 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 9156.1578947
The remainder is 7 after subtracting 133 from 140.
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 14:
70 divided by 19 is 3 with a remainder of 13.
The next digit of our result is 3. 
Result so far: 9156.15789473
Subtracting 57 from 70 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.

Our division results in 9156.15789473 with a remaining 1.3e-08.