303555 ÷ 66 
We're looking to find how many times 66 goes into 303555.

On to step 1:
66 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 66

Advancing to step 2:
66 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Bring next digit (3) of the dividend behind the 30 and repeat the process: 303 / 66

On to step 3:
When dividing 303 by 66, we get 4 with a remainder of 39.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 264 from 303, we get 39.
Fetch the next digit (5) from the dividend, attach it to 39 and continue: 395 / 66

On to step 4:
If we divide 395 by 66, we get 5 and a remainder of 65.
The next digit of our result is 5. 
Result so far: 45.0
If we subtract 330 from 395, we get 65.
Take the next digit (5) from the dividend and append it to 65, then repeat: 655 / 66

Step 5:
When dividing 655 by 66, we get 9 with a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 459.0
Subtracting 594 from 655 leaves us with 61.
Bring next digit (5) of the dividend behind the 61 and repeat the process: 615 / 66

Moving on to step 6:
When dividing 615 by 66, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 4599.0
Subtracting 594 from 615 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
66 can be fit into 210 3 times, resulting in a remainder of 12.
The next digit of our result is 3. 
Result so far: 4599.3
If we subtract 198 from 210, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
If we divide 120 by 66, we get 1 and a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 4599.31
If we subtract 66 from 120, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 9:
540 divided by 66 is 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 4599.318
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
When dividing 120 by 66, we get 1 with a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 4599.3181
Subtracting 66 from 120 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 11:
66 goes into 540 8 times with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 4599.31818
Subtracting 528 from 540 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
When dividing 120 by 66, we get 1 with a remainder of 54.
The next digit of our result is 1. 
Result so far: 4599.318181
If we subtract 66 from 120, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 13:
The number 66 fits into 540 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 4599.3181818
The remainder is 12 after subtracting 528 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
120 divided by 66 is 1 with a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 4599.31818181
Subtract 66 from 120 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 4599.31818181 with a remainder of 5.4e-08.