We look at the division of 346406 by 66 
We want to figure out the number of times 346406 can be divided by 66.

Going ahead to step 1:
When dividing 3 by 66, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 66

On to step 2:
The number 66 fits into 34 0 times, leaving a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Fetch the next digit (6) from the dividend, attach it to 34 and continue: 346 / 66

Let's proceed to step 3:
66 goes into 346 5 times with a remainder of 16.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 330 from 346, we get 16.
Include the next digit (4) from the dividend after 16, then repeat: 164 / 66

Step 4:
66 goes into 164 2 times with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Deduct 132 from 164 and we're left with 32.
Fetch the next digit (0) from the dividend, attach it to 32 and continue: 320 / 66

Step 5:
When dividing 320 by 66, we get 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 524.0
The remainder is 56 after subtracting 264 from 320.
Append the next digit (6) from the dividend to 56 and continue with: 566 / 66

Advancing to step 6:
When dividing 566 by 66, we get 8 with a remainder of 38.
Use 8 as the next digit of our solution. 
Result so far: 5248.0
Subtract 528 from 566 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.

Moving on to step 7:
If we divide 380 by 66, we get 5 and a remainder of 50.
The next digit of our result is 5. 
Result so far: 5248.5
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.

Let's proceed to step 8:
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: 5248.57
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.

Going ahead to step 9:
380 divided by 66 is 5 with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 5248.575
If we take 330 away from 380, we end up 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.

Moving on to step 10:
500 divided by 66 is 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 5248.5757
If we subtract 462 from 500, we 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.

Advancing to step 11:
If we divide 380 by 66, we get 5 and a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 5248.57575
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 12:
66 goes into 500 7 times with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 5248.575757
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.

Advancing to step 13:
The number 66 fits into 380 5 times, leaving a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 5248.5757575
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.

Moving on to step 14:
500 divided by 66 is 7 with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 5248.57575757
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.

In conclusion, the division gives 5248.57575757 with a balance of 3.8e-08.