777742 ÷ 30 
We want to figure out the number of times 777742 can be divided by 30.

Advancing to step 1:
30 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 30

Moving on to step 2:
If we divide 77 by 30, we get 2 and a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 60 from 77, we get 17.
Bring next digit (7) of the dividend behind the 17 and repeat the process: 177 / 30

Going ahead to step 3:
30 can be fit into 177 5 times, resulting in a remainder of 27.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Subtracting 150 from 177 leaves us with 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 30

Going ahead to step 4:
The number 30 fits into 277 9 times, leaving a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 259.0
If we subtract 270 from 277, we get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 30

On to step 5:
The number 30 fits into 74 2 times, leaving a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 2592.0
If we subtract 60 from 74, we get 14.
Grab the next digit (2) from the dividend, add it to 14, then carry on: 142 / 30

Going ahead to step 6:
The number 30 fits into 142 4 times, leaving a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 25924.0
If we subtract 120 from 142, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
220 divided by 30 is 7 with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 25924.7
If we subtract 210 from 220, 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.

Moving on to step 8:
30 goes into 100 3 times with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 25924.73
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
If we divide 100 by 30, we get 3 and a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 25924.733
If we subtract 90 from 100, 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.

After the division, we end up with 25924.733 and a remainder of 0.001.