We divide 65667581 by 3
We want to divide 65667581 by 3.

Step 1:
If we divide 6 by 3, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 6 from 6 to get 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 3

Let's proceed to step 2:
5 divided by 3 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Deduct 3 from 5 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Step 3:
26 divided by 3 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 218.0
The remainder is 2 after subtracting 24 from 26.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 3

Moving on to step 4:
3 can be fit into 26 8 times, resulting in a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 2188.0
Subtracting 24 from 26 leaves us with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 3

Moving on to step 5:
3 can be fit into 27 9 times, resulting in a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 21889.0
Subtracting 27 from 27 leaves us with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

Moving on to step 6:
3 can be fit into 5 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 218891.0
If we take 3 away from 5, we end up with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 3

On to step 7:
When dividing 28 by 3, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 2188919.0
The remainder is 1 after subtracting 27 from 28.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 3

Step 8:
When dividing 11 by 3, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 21889193.0
The remainder is 2 after subtracting 9 from 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 21889193.6
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.

Moving on to step 10:
If we divide 20 by 3, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 21889193.66
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.

The final result is 21889193.66 with a remainder of 0.002.