384565 ÷ 35 
We want to divide 384565 by 35.

Going ahead to step 1:
If we divide 3 by 35, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 35

Advancing to step 2:
The number 35 fits into 38 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 35 from 38, we get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 35

Let's proceed to step 3:
The number 35 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 34, we end up with 34.
Take the next digit (5) from the dividend and append it to 34, then repeat: 345 / 35

Going ahead to step 4:
If we divide 345 by 35, we get 9 and a remainder of 30.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
If we subtract 315 from 345, we get 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 35

Going ahead to step 5:
306 divided by 35 is 8 with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 1098.0
Subtracting 280 from 306 leaves us with 26.
Append the next digit (5) from the dividend to 26 and continue with: 265 / 35

Advancing to step 6:
265 divided by 35 is 7 with a remainder of 20.
Write down 7 as next digit of the result. 
Result so far: 10987.0
The remainder is 20 after subtracting 245 from 265.
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 7:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 10987.5
Deduct 175 from 200 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
250 divided by 35 is 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 10987.57
If we take 245 away from 250, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
The number 35 fits into 50 1 times, leaving a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 10987.571
If we take 35 away from 50, we end up 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 10:
35 can be fit into 150 4 times, resulting in a remainder of 10.
The next digit of our result is 4. 
Result so far: 10987.5714
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
35 goes into 100 2 times with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 10987.57142
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 10987.571428
If we subtract 280 from 300, we 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.

Let's proceed to step 13:
200 divided by 35 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 10987.5714285
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 14:
If we divide 250 by 35, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 10987.57142857
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 10987.57142857 with a remaining 5e-09.