769643 ÷ 3 
Our goal is to divide 769643 by 3.

Moving on to step 1:
7 divided by 3 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 6 from 7 to get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 3

Going ahead to step 2:
When dividing 16 by 3, we get 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
Subtracting 15 from 16 leaves us with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 3

Advancing to step 3:
The number 3 fits into 19 6 times, leaving a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 256.0
Subtracting 18 from 19 leaves us with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

Moving on to step 4:
16 divided by 3 is 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 2565.0
If we subtract 15 from 16, we get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 3

Let's proceed to step 5:
The number 3 fits into 14 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 25654.0
Deduct 12 from 14 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 3

Step 6:
The number 3 fits into 23 7 times, leaving a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 256547.0
If we subtract 21 from 23, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
20 divided by 3 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 256547.6
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
3 goes into 20 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 256547.66
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 256547.66 with a remainder of 0.002.