We look at the division of 726734 by 3 
We're looking to find how many times 3 goes into 726734.

Step 1:
7 divided by 3 is 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 6 from 7 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 3

Moving on to step 2:
The number 3 fits into 12 4 times, leaving a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
If we take 12 away from 12, we end up with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

Let's proceed to step 3:
3 goes into 6 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 242.0
Subtract 6 from 6 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 3

Moving on to step 4:
If we divide 7 by 3, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2422.0
Deduct 6 from 7 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 3

Let's proceed to step 5:
The number 3 fits into 13 4 times, leaving a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 24224.0
Subtracting 12 from 13 leaves us with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 3

Step 6:
When dividing 14 by 3, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 242244.0
Subtracting 12 from 14 leaves us 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.

Let's proceed to step 7:
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: 242244.6
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.

Advancing to step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 242244.66
Subtract 18 from 20 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.

The final result is 242244.66 with a remainder of 0.002.