76877 ÷ 19 
We want to figure out the number of times 76877 can be divided by 19.

Step 1:
19 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 19

On to step 2:
The number 19 fits into 76 4 times, leaving a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 76 from 76 to get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 19

Advancing to step 3:
The number 19 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 40.0
If we subtract 0 from 8, we get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 19

Going ahead to step 4:
When dividing 87 by 19, we get 4 with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 404.0
If we take 76 away from 87, we end up with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 19

Advancing to step 5:
When dividing 117 by 19, we get 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 4046.0
Subtracting 114 from 117 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.

Going ahead to step 6:
If we divide 30 by 19, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 4046.1
If we subtract 19 from 30, we 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.

Let's proceed to step 7:
19 goes into 110 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 4046.15
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.

Step 8:
19 goes into 150 7 times with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 4046.157
If we take 133 away from 150, we end up with 17.
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 9:
When dividing 170 by 19, we get 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 4046.1578
Subtracting 152 from 170 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
180 divided by 19 is 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 4046.15789
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.

Let's proceed to step 11:
19 goes into 90 4 times with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 4046.157894
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 12:
If we divide 140 by 19, we get 7 and a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 4046.1578947
Deduct 133 from 140 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 13:
19 can be fit into 70 3 times, resulting in a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 4046.15789473
Deduct 57 from 70 and we're left 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.

The final result is 4046.15789473 with a remainder of 1.3e-08.