We look at the division of 777421 by 3 
We want to divide 777421 by 3.

On to step 1:
The number 3 fits into 7 2 times, leaving a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 1 after subtracting 6 from 7.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 3

Step 2:
17 divided by 3 is 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
If we subtract 15 from 17, we get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 3

Moving on to step 3:
3 goes into 27 9 times with a remainder of 0.
The next digit of our result is 9. 
Result so far: 259.0
Deduct 27 from 27 and we're left with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Advancing to step 4:
3 can be fit into 4 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 2591.0
If we take 3 away from 4, we end up with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 3

Moving on to step 5:
If we divide 12 by 3, we get 4 and a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 25914.0
Deduct 12 from 12 and we're left with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

Advancing to step 6:
3 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 259140.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 259140.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
3 goes into 10 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 259140.33
The remainder is 1 after subtracting 9 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 259140.33, and the remainder is 0.001.