We look at the division of 963213 by 19 
Our goal is to divide 963213 by 19.

Going ahead to step 1:
The number 19 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 9 and we're left 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 can be fit into 96 5 times, resulting in a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 95 from 96, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 19

Going ahead to step 3:
When dividing 13 by 19, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 50.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 19

On to step 4:
If we divide 132 by 19, we get 6 and a remainder of 18.
The next digit of our result is 6. 
Result so far: 506.0
The remainder is 18 after subtracting 114 from 132.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 19

Advancing to step 5:
The number 19 fits into 181 9 times, leaving a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 5069.0
Subtract 171 from 181 to get 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 19

Step 6:
When dividing 103 by 19, we get 5 with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 50695.0
If we take 95 away from 103, we end up 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 7:
The number 19 fits into 80 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 50695.4
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
If we divide 40 by 19, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 50695.42
If we take 38 away from 40, 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.

Let's proceed to step 9:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 50695.421
If we take 19 away from 20, we end up 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.

Going ahead to step 10:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 50695.421
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.

Step 11:
If we divide 100 by 19, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 50695.42105
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.

On to step 12:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 50695.421052
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.

Going ahead to step 13:
19 goes into 120 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 50695.4210526
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
If we divide 60 by 19, we get 3 and a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 50695.42105263
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 50695.42105263 with a remainder of 3e-09.