969172 ÷ 19 
We want to figure out the number of times 969172 can be divided by 19.

Step 1:
19 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 19

Going ahead to step 2:
19 goes into 96 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 95 from 96 to get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 19

On to step 3:
19 goes into 19 1 times with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 51.0
Subtract 19 from 19 to get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 19

Moving on to step 4:
The number 19 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 510.0
If we subtract 0 from 1, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 19

Let's proceed to step 5:
The number 19 fits into 17 0 times, leaving a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 5100.0
Subtract 0 from 17 to get 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 19

Let's proceed to step 6:
19 goes into 172 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 51009.0
Deduct 171 from 172 and we're left 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.

Moving on to step 7:
19 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 51009.0
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.

Moving on to step 8:
19 goes into 100 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 51009.05
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.

Advancing to step 9:
19 goes into 50 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 51009.052
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.

Advancing to step 10:
120 divided by 19 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 51009.0526
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
If we divide 60 by 19, we get 3 and a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 51009.05263
If we take 57 away from 60, 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.

On to step 12:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 51009.052631
Deduct 19 from 30 and we're left 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.

Advancing to step 13:
When dividing 110 by 19, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 51009.0526315
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.

On to step 14:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 51009.05263157
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.

The final result is 51009.05263157 with a remainder of 1.7e-08.