337008 ÷ 66 
Our goal is to divide 337008 by 66.

On to step 1:
66 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 66

Moving on to step 2:
When dividing 33 by 66, we get 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Bring next digit (7) of the dividend behind the 33 and repeat the process: 337 / 66

On to step 3:
If we divide 337 by 66, we get 5 and a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 330 away from 337, we end up with 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 66

Moving on to step 4:
66 goes into 70 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 51.0
Subtract 66 from 70 to get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 66

Advancing to step 5:
66 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 510.0
If we take 0 away from 40, we end up with 40.
Append the next digit (8) from the dividend to 40 and continue with: 408 / 66

On to step 6:
When dividing 408 by 66, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 5106.0
If we subtract 396 from 408, 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.

Moving on to step 7:
The number 66 fits into 120 1 times, leaving a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 5106.1
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.

Step 8:
66 goes into 540 8 times with a remainder of 12.
The next digit of our result is 8. 
Result so far: 5106.18
If we take 528 away from 540, we end up 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.

Advancing to step 9:
If we divide 120 by 66, we get 1 and a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 5106.181
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 10:
If we divide 540 by 66, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 5106.1818
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.

Let's proceed to step 11:
120 divided by 66 is 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 5106.18181
Deduct 66 from 120 and we're left 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.

Advancing to step 12:
66 goes into 540 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 5106.181818
Subtract 528 from 540 to 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.

Going ahead to step 13:
The number 66 fits into 120 1 times, leaving a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 5106.1818181
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.

Moving on to step 14:
When dividing 540 by 66, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 5106.18181818
Subtract 528 from 540 to 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.

After the division, we end up with 5106.18181818 and a remainder of 1.2e-08.