677767 ÷ 19 
Let's see how many times 19 fits into 677767.

Going ahead to step 1:
If we divide 6 by 19, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 19

Step 2:
The number 19 fits into 67 3 times, leaving a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 10 after subtracting 57 from 67.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 19

Going ahead to step 3:
When dividing 107 by 19, we get 5 with a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
If we take 95 away from 107, we end up with 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 19

Moving on to step 4:
19 goes into 127 6 times with a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 356.0
If we take 114 away from 127, we end up with 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 19

Advancing to step 5:
When dividing 136 by 19, we get 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 3567.0
Subtract 133 from 136 to get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 19

Let's proceed to step 6:
19 goes into 37 1 times with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 35671.0
If we subtract 19 from 37, 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.

Moving on to step 7:
If we divide 180 by 19, we get 9 and a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 35671.9
If we take 171 away from 180, we end up 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 8:
19 can be fit into 90 4 times, resulting in a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 35671.94
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
19 goes into 140 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 35671.947
If we take 133 away from 140, we end up 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.

On to step 10:
When dividing 70 by 19, we get 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 35671.9473
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.

On to step 11:
130 divided by 19 is 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 35671.94736
Subtracting 114 from 130 leaves us 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.

On to step 12:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 35671.947368
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
19 goes into 80 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 35671.9473684
Deduct 76 from 80 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
If we divide 40 by 19, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 35671.94736842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 35671.94736842, and the remainder is 2e-09.