706607 ÷ 66 
We're looking to find how many times 66 goes into 706607.

Step 1:
7 divided by 66 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 66

Step 2:
66 goes into 70 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 66 from 70 and we're left with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 66

Moving on to step 3:
The number 66 fits into 46 0 times, leaving a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 46 after subtracting 0 from 46.
Take the next digit (6) from the dividend and append it to 46, then repeat: 466 / 66

Let's proceed to step 4:
66 can be fit into 466 7 times, resulting in a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 107.0
Subtract 462 from 466 to get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 66

On to step 5:
The number 66 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1070.0
Subtracting 0 from 40 leaves us with 40.
Take the next digit (7) from the dividend and append it to 40, then repeat: 407 / 66

Moving on to step 6:
When dividing 407 by 66, we get 6 with a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 10706.0
Deduct 396 from 407 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
If we divide 110 by 66, we get 1 and a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 10706.1
Deduct 66 from 110 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 8:
66 goes into 440 6 times with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 10706.16
If we take 396 away from 440, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 9:
66 goes into 440 6 times with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 10706.166
If we take 396 away from 440, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 10706.166 with a balance of 0.0044.