We're dividing 406940 by 66 
We're looking to find how many times 66 goes into 406940.

Moving on to step 1:
When dividing 4 by 66, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 66

Let's proceed to step 2:
66 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Fetch the next digit (6) from the dividend, attach it to 40 and continue: 406 / 66

Advancing to step 3:
When dividing 406 by 66, we get 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 396 from 406 to get 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 66

Advancing to step 4:
When dividing 109 by 66, we get 1 with a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Deduct 66 from 109 and we're left with 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 66

Moving on to step 5:
When dividing 434 by 66, we get 6 with a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 616.0
If we subtract 396 from 434, we get 38.
Include the next digit (0) from the dividend after 38, then repeat: 380 / 66

Advancing to step 6:
66 can be fit into 380 5 times, resulting in a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 6165.0
If we subtract 330 from 380, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 7:
500 divided by 66 is 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 6165.7
Subtract 462 from 500 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 8:
380 divided by 66 is 5 with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6165.75
If we subtract 330 from 380, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
66 goes into 500 7 times with a remainder of 38.
The next digit of our result is 7. 
Result so far: 6165.757
Subtracting 462 from 500 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 10:
When dividing 380 by 66, we get 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 6165.7575
Deduct 330 from 380 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 11:
The number 66 fits into 500 7 times, leaving a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 6165.75757
The remainder is 38 after subtracting 462 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 12:
If we divide 380 by 66, we get 5 and a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 6165.757575
Subtracting 330 from 380 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 13:
500 divided by 66 is 7 with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 6165.7575757
Deduct 462 from 500 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 14:
380 divided by 66 is 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 6165.75757575
Subtract 330 from 380 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 6165.75757575 with a remainder of 5e-08.