403005 ÷ 66 
Our goal is to divide 403005 by 66.

Step 1:
The number 66 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 66

Moving on to step 2:
40 divided by 66 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 40 leaves us with 40.
Append the next digit (3) from the dividend to 40 and continue with: 403 / 66

Moving on to step 3:
403 divided by 66 is 6 with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 396 from 403 and we're left with 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 66

On to step 4:
The number 66 fits into 70 1 times, leaving a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 61.0
If we take 66 away from 70, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 66

On to step 5:
If we divide 40 by 66, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 610.0
Subtract 0 from 40 to get 40.
Append the next digit (5) from the dividend to 40 and continue with: 405 / 66

Step 6:
The number 66 fits into 405 6 times, leaving a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 6106.0
If we take 396 away from 405, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
When dividing 90 by 66, we get 1 with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 6106.1
Subtracting 66 from 90 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
The number 66 fits into 240 3 times, leaving a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 6106.13
Subtracting 198 from 240 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 9:
If we divide 420 by 66, we get 6 and a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 6106.136
The remainder is 24 after subtracting 396 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
240 divided by 66 is 3 with a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 6106.1363
If we take 198 away from 240, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 11:
If we divide 420 by 66, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 6106.13636
Subtract 396 from 420 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
If we divide 240 by 66, we get 3 and a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 6106.136363
Deduct 198 from 240 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 13:
When dividing 420 by 66, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 6106.1363636
If we subtract 396 from 420, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
240 divided by 66 is 3 with a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 6106.13636363
Subtracting 198 from 240 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 6106.13636363 with a remaining 4.2e-08.