We're dividing 768176 by 3 
We're looking to find how many times 3 goes into 768176.

Let's proceed to step 1:
7 divided by 3 is 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 6 from 7 to get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 3

Advancing to step 2:
The number 3 fits into 16 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Deduct 15 from 16 and we're left with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Advancing to step 3:
3 can be fit into 18 6 times, resulting in a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 256.0
The remainder is 0 after subtracting 18 from 18.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

Step 4:
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: 2560.0
If we take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 3

Moving on to step 5:
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: 25605.0
Subtract 15 from 17 to get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 3

Step 6:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 256058.0
Subtract 24 from 26 to 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.

Let's proceed to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 256058.6
If we take 18 away from 20, we end up 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.

Going ahead to step 8:
3 goes into 20 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 256058.66
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.

The final outcome is 256058.66, with a leftover of 0.002.