We look at the division of 959768 by 19 
We want to figure out the number of times 959768 can be divided by 19.

Step 1:
The number 19 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 19

Advancing to step 2:
19 goes into 95 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 95 from 95 leaves us with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 19

Step 3:
The number 19 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 50.0
If we take 0 away from 9, we end up with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 19

Going ahead to step 4:
The number 19 fits into 97 5 times, leaving a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 505.0
Subtract 95 from 97 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 19

Step 5:
The number 19 fits into 26 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 5051.0
The remainder is 7 after subtracting 19 from 26.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 19

Step 6:
19 goes into 78 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 50514.0
If we take 76 away from 78, we end up 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.

Advancing to step 7:
19 goes into 20 1 times with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 50514.1
Deduct 19 from 20 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.

Step 8:
The number 19 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 50514.1
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
19 goes into 100 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 50514.105
If we take 95 away from 100, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
50 divided by 19 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 50514.1052
If we take 38 away from 50, we end up 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 11:
If we divide 120 by 19, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 50514.10526
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.

Advancing to step 12:
When dividing 60 by 19, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 50514.105263
Subtracting 57 from 60 leaves us 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.

Advancing to step 13:
When dividing 30 by 19, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 50514.1052631
Subtract 19 from 30 to get 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 14:
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: 50514.10526315
Deduct 95 from 110 and we're left 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.

The final result is 50514.10526315 with a remainder of 1.5e-08.