665184 divided by 35 
Our goal is to divide 665184 by 35.

Moving on to step 1:
35 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 35

Step 2:
When dividing 66 by 35, we get 1 with a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 35 from 66, we get 31.
Take the next digit (5) from the dividend and append it to 31, then repeat: 315 / 35

Advancing to step 3:
If we divide 315 by 35, we get 9 and a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Deduct 315 from 315 and we're left with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 35

Step 4:
35 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 190.0
Subtract 0 from 1 to get 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 35

Let's proceed to step 5:
35 can be fit into 18 0 times, resulting in a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 1900.0
Subtracting 0 from 18 leaves us with 18.
Append the next digit (4) from the dividend to 18 and continue with: 184 / 35

Step 6:
If we divide 184 by 35, we get 5 and a remainder of 9.
The next digit of our result is 5. 
Result so far: 19005.0
Subtract 175 from 184 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
90 divided by 35 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 19005.2
Subtract 70 from 90 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.

Moving on to step 8:
If we divide 200 by 35, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 19005.25
Subtract 175 from 200 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
35 can be fit into 250 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 19005.257
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 19005.2571
Subtracting 35 from 50 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 11:
150 divided by 35 is 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 19005.25714
If we subtract 140 from 150, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
35 can be fit into 100 2 times, resulting in a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 19005.257142
Deduct 70 from 100 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
The number 35 fits into 300 8 times, leaving a remainder of 20.
The next digit of our result is 8. 
Result so far: 19005.2571428
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
The number 35 fits into 200 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 19005.25714285
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 19005.25714285 with a remainder of 2.5e-08.