We're dividing 768419 by 14 
Our goal is to divide 768419 by 14.

Let's proceed to step 1:
14 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
The remainder is 7 after subtracting 0 from 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 14

Step 2:
When dividing 76 by 14, we get 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 70 away from 76, we end up with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 14

Going ahead to step 3:
If we divide 68 by 14, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 54.0
Deduct 56 from 68 and we're left with 12.
Grab the next digit (4) from the dividend, add it to 12, then carry on: 124 / 14

Advancing to step 4:
When dividing 124 by 14, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 548.0
Deduct 112 from 124 and we're left with 12.
Append the next digit (1) from the dividend to 12 and continue with: 121 / 14

Let's proceed to step 5:
14 can be fit into 121 8 times, resulting in a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 5488.0
The remainder is 9 after subtracting 112 from 121.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 14

Moving on to step 6:
14 can be fit into 99 7 times, resulting in a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 54887.0
The remainder is 1 after subtracting 98 from 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
14 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 54887.0
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 8:
100 divided by 14 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 54887.07
Deduct 98 from 100 and we're left 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 9:
20 divided by 14 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 54887.071
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
The number 14 fits into 60 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 54887.0714
If we subtract 56 from 60, 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.

On to step 11:
If we divide 40 by 14, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 54887.07142
Subtracting 28 from 40 leaves us 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 12:
14 goes into 120 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 54887.071428
If we subtract 112 from 120, we 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.

Let's proceed to step 13:
If we divide 80 by 14, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 54887.0714285
The remainder is 10 after subtracting 70 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
14 goes into 100 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 54887.07142857
Deduct 98 from 100 and we're left 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.

After the division, we end up with 54887.07142857 and a remainder of 2e-09.