360908 ÷ 66 
We're looking to find how many times 66 goes into 360908.

Moving on to step 1:
If we divide 3 by 66, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 66

Step 2:
66 can be fit into 36 0 times, resulting in a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 36 to get 36.
Fetch the next digit (0) from the dividend, attach it to 36 and continue: 360 / 66

Step 3:
The number 66 fits into 360 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 330 away from 360, we end up with 30.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 66

Step 4:
66 can be fit into 309 4 times, resulting in a remainder of 45.
The next digit of our result is 4. 
Result so far: 54.0
Deduct 264 from 309 and we're left with 45.
Fetch the next digit (0) from the dividend, attach it to 45 and continue: 450 / 66

On to step 5:
66 can be fit into 450 6 times, resulting in a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 546.0
The remainder is 54 after subtracting 396 from 450.
Fetch the next digit (8) from the dividend, attach it to 54 and continue: 548 / 66

Step 6:
548 divided by 66 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 5468.0
Subtracting 528 from 548 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
66 goes into 200 3 times with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 5468.3
Deduct 198 from 200 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
20 divided by 66 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5468.3
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
The number 66 fits into 200 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 5468.303
Deduct 198 from 200 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
66 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 5468.303
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
200 divided by 66 is 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 5468.30303
Subtracting 198 from 200 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
66 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5468.30303
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
200 divided by 66 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 5468.3030303
Deduct 198 from 200 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
66 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 5468.3030303
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 5468.3030303 and a remainder of 2e-08.