14766 ÷ 19 
Our goal is to divide 14766 by 19.

Let's proceed to step 1:
19 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 19

Going ahead to step 2:
19 can be fit into 14 0 times, resulting in a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 19

Going ahead to step 3:
19 can be fit into 147 7 times, resulting in a remainder of 14.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 133 from 147 and we're left with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 19

Advancing to step 4:
When dividing 146 by 19, we get 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 77.0
Deduct 133 from 146 and we're left with 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 19

On to step 5:
136 divided by 19 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 777.0
Subtracting 133 from 136 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.

Let's proceed to step 6:
19 goes into 30 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 777.1
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.

Moving on to step 7:
110 divided by 19 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 777.15
Subtract 95 from 110 to 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.

Moving on to step 8:
If we divide 150 by 19, we get 7 and a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 777.157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
170 divided by 19 is 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 777.1578
If we subtract 152 from 170, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
19 goes into 180 9 times with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 777.15789
Subtracting 171 from 180 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 11:
The number 19 fits into 90 4 times, leaving a remainder of 14.
The next digit of our result is 4. 
Result so far: 777.157894
Subtract 76 from 90 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
If we divide 140 by 19, we get 7 and a remainder of 7.
The next digit of our result is 7. 
Result so far: 777.1578947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
If we divide 70 by 19, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 777.15789473
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 777.15789473 and a remainder of 1.3e-08.