634166 ÷ 66 
We want to figure out the number of times 634166 can be divided by 66.

Advancing to step 1:
If we divide 6 by 66, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 66

Advancing to step 2:
63 divided by 66 is 0 with a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Take the next digit (4) from the dividend and append it to 63, then repeat: 634 / 66

Going ahead to step 3:
The number 66 fits into 634 9 times, leaving a remainder of 40.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 594 from 634 and we're left with 40.
Include the next digit (1) from the dividend after 40, then repeat: 401 / 66

Let's proceed to step 4:
66 goes into 401 6 times with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Deduct 396 from 401 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 66

Going ahead to step 5:
66 goes into 56 0 times with a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 960.0
Subtract 0 from 56 to get 56.
Grab the next digit (6) from the dividend, add it to 56, then carry on: 566 / 66

Moving on to step 6:
66 goes into 566 8 times with a remainder of 38.
The number 8 becomes the next digit in our result. 
Result so far: 9608.0
If we subtract 528 from 566, 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.

Going ahead to step 7:
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: 9608.5
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.

Moving on to step 8:
The number 66 fits into 500 7 times, leaving a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 9608.57
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 9:
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: 9608.575
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 10:
If we divide 500 by 66, we get 7 and a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 9608.5757
If we take 462 away from 500, we end up 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.

Moving on to step 11:
380 divided by 66 is 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 9608.57575
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.

Step 12:
66 can be fit into 500 7 times, resulting in a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 9608.575757
If we take 462 away from 500, we end up 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 13:
380 divided by 66 is 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 9608.5757575
The remainder is 50 after subtracting 330 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 14:
66 can be fit into 500 7 times, resulting in a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 9608.57575757
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.

After the division, we end up with 9608.57575757 and a remainder of 3.8e-08.