Let's divide 781122 by 19
Our goal is to divide 781122 by 19.

On to step 1:
19 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 19

On to step 2:
The number 19 fits into 78 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 76 away from 78, we end up with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 19

On to step 3:
19 can be fit into 21 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
The remainder is 2 after subtracting 19 from 21.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 19

Going ahead to step 4:
If we divide 21 by 19, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 411.0
Deduct 19 from 21 and we're left with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 19

Let's proceed to step 5:
22 divided by 19 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 4111.0
Subtract 19 from 22 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 19

Moving on to step 6:
32 divided by 19 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 41111.0
If we take 19 away from 32, 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.

Advancing to step 7:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 41111.6
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.

Let's proceed to step 8:
19 goes into 160 8 times with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 41111.68
Subtract 152 from 160 to get 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 9:
80 divided by 19 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 41111.684
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
When dividing 40 by 19, we get 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 41111.6842
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.

On to step 11:
19 goes into 20 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 41111.68421
Subtracting 19 from 20 leaves us 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 12:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 41111.68421
If we subtract 0 from 10, we 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.

Advancing to step 13:
When dividing 100 by 19, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 41111.6842105
Deduct 95 from 100 and we're left 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 14:
19 goes into 50 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 41111.68421052
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.

The quotient of the division is 41111.68421052, and the remainder is 1.2e-08.