553414 divided by 66 
We're looking to find how many times 66 goes into 553414.

Advancing to step 1:
If we divide 5 by 66, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 66

Let's proceed to step 2:
55 divided by 66 is 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Bring next digit (3) of the dividend behind the 55 and repeat the process: 553 / 66

Going ahead to step 3:
If we divide 553 by 66, we get 8 and a remainder of 25.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 528 away from 553, we end up with 25.
Include the next digit (4) from the dividend after 25, then repeat: 254 / 66

Moving on to step 4:
If we divide 254 by 66, we get 3 and a remainder of 56.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
The remainder is 56 after subtracting 198 from 254.
Grab the next digit (1) from the dividend, add it to 56, then carry on: 561 / 66

Let's proceed to step 5:
66 goes into 561 8 times with a remainder of 33.
The number 8 becomes the next digit in our result. 
Result so far: 838.0
Subtract 528 from 561 to get 33.
Take the next digit (4) from the dividend and append it to 33, then repeat: 334 / 66

Moving on to step 6:
When dividing 334 by 66, we get 5 with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 8385.0
If we subtract 330 from 334, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
The number 66 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8385.0
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
If we divide 400 by 66, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 8385.06
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
66 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 8385.06
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
400 divided by 66 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8385.0606
Subtracting 396 from 400 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
66 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8385.0606
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
When dividing 400 by 66, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 8385.060606
Subtracting 396 from 400 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
If we divide 40 by 66, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8385.060606
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 14:
66 goes into 400 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 8385.06060606
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 8385.06060606 with a remainder of 4e-09.