766522 ÷ 19 
Our goal is to divide 766522 by 19.

Moving on to step 1:
When dividing 7 by 19, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 19

Moving on to step 2:
If we divide 76 by 19, we get 4 and a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 76 from 76, we get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 19

Going ahead to step 3:
If we divide 6 by 19, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 40.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 19

Step 4:
19 goes into 65 3 times with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 403.0
Deduct 57 from 65 and we're left with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 19

Going ahead to step 5:
If we divide 82 by 19, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 4034.0
Deduct 76 from 82 and we're left with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 19

Advancing to step 6:
19 goes into 62 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 40343.0
If we subtract 57 from 62, we get 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 7:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 40343.2
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 8:
120 divided by 19 is 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 40343.26
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.

Moving on to step 9:
19 goes into 60 3 times with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 40343.263
If we take 57 away from 60, we end up 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.

Going ahead to step 10:
19 goes into 30 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 40343.2631
Deduct 19 from 30 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
If we divide 110 by 19, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 40343.26315
Subtracting 95 from 110 leaves us 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.

On to step 12:
150 divided by 19 is 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 40343.263157
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 13:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 40343.2631578
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.

Step 14:
19 can be fit into 180 9 times, resulting in a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 40343.26315789
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.

In conclusion, the division gives 40343.26315789 with a balance of 9e-09.