634114 divided by 66 
We want to figure out the number of times 634114 can be divided by 66.

Advancing to step 1:
66 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 66

Advancing to step 2:
The number 66 fits into 63 0 times, leaving a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Take the next digit (4) from the dividend and append it to 63, then repeat: 634 / 66

On to step 3:
634 divided by 66 is 9 with a remainder of 40.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 594 away from 634, we end up with 40.
Take the next digit (1) from the dividend and append it to 40, then repeat: 401 / 66

Let's proceed to step 4:
If we divide 401 by 66, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Subtract 396 from 401 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 66

Let's proceed to step 5:
66 can be fit into 51 0 times, resulting in a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 960.0
If we subtract 0 from 51, we get 51.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 66

Moving on to step 6:
If we divide 514 by 66, we get 7 and a remainder of 52.
The next digit of our result is 7. 
Result so far: 9607.0
The remainder is 52 after subtracting 462 from 514.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
When dividing 520 by 66, we get 7 with a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 9607.7
The remainder is 58 after subtracting 462 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 8:
580 divided by 66 is 8 with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 9607.78
Subtract 528 from 580 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 9:
When dividing 520 by 66, we get 7 with a remainder of 58.
The next digit of our result is 7. 
Result so far: 9607.787
If we take 462 away from 520, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 10:
When dividing 580 by 66, we get 8 with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 9607.7878
The remainder is 52 after subtracting 528 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
When dividing 520 by 66, we get 7 with a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 9607.78787
Deduct 462 from 520 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 12:
If we divide 580 by 66, we get 8 and a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 9607.787878
Deduct 528 from 580 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 13:
66 can be fit into 520 7 times, resulting in a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 9607.7878787
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 14:
When dividing 580 by 66, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 9607.78787878
If we subtract 528 from 580, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 9607.78787878 with a balance of 5.2e-08.