669330 ÷ 38 
We're looking to find how many times 38 goes into 669330.

Let's proceed to step 1:
When dividing 6 by 38, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 38

On to step 2:
66 divided by 38 is 1 with a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 28 after subtracting 38 from 66.
Include the next digit (9) from the dividend after 28, then repeat: 289 / 38

Moving on to step 3:
The number 38 fits into 289 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtracting 266 from 289 leaves us with 23.
Bring next digit (3) of the dividend behind the 23 and repeat the process: 233 / 38

Going ahead to step 4:
38 goes into 233 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 176.0
If we take 228 away from 233, we end up with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 38

On to step 5:
38 can be fit into 53 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1761.0
If we take 38 away from 53, we end up with 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 38

Moving on to step 6:
The number 38 fits into 150 3 times, leaving a remainder of 36.
The number 3 becomes the next digit in our result. 
Result so far: 17613.0
The remainder is 36 after subtracting 114 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 7:
The number 38 fits into 360 9 times, leaving a remainder of 18.
The next digit of our result is 9. 
Result so far: 17613.9
If we take 342 away from 360, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
180 divided by 38 is 4 with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 17613.94
Subtract 152 from 180 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
280 divided by 38 is 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 17613.947
The remainder is 14 after subtracting 266 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
When dividing 140 by 38, we get 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 17613.9473
Subtracting 114 from 140 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
260 divided by 38 is 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 17613.94736
The remainder is 32 after subtracting 228 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 12:
320 divided by 38 is 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 17613.947368
The remainder is 16 after subtracting 304 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 17613.9473684
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
80 divided by 38 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 17613.94736842
Subtracting 76 from 80 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.

After the division, we end up with 17613.94736842 and a remainder of 4e-09.