321165 ÷ 35 
We're looking to find how many times 35 goes into 321165.

Moving on to step 1:
If we divide 3 by 35, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 35

Moving on to step 2:
32 divided by 35 is 0 with a remainder of 32.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 32 leaves us with 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 35

Step 3:
The number 35 fits into 321 9 times, leaving a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 6 after subtracting 315 from 321.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 35

Going ahead to step 4:
If we divide 61 by 35, we get 1 and a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 91.0
If we take 35 away from 61, we end up with 26.
Bring next digit (6) of the dividend behind the 26 and repeat the process: 266 / 35

On to step 5:
35 goes into 266 7 times with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 917.0
Deduct 245 from 266 and we're left with 21.
Fetch the next digit (5) from the dividend, attach it to 21 and continue: 215 / 35

Moving on to step 6:
When dividing 215 by 35, we get 6 with a remainder of 5.
The next digit of our result is 6. 
Result so far: 9176.0
Deduct 210 from 215 and we're left 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.

Step 7:
35 goes into 50 1 times with a remainder of 15.
The next digit of our result is 1. 
Result so far: 9176.1
Deduct 35 from 50 and we're left 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.

Advancing to step 8:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 9176.14
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.

Going ahead to step 9:
When dividing 100 by 35, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 9176.142
Subtract 70 from 100 to 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.

On to step 10:
300 divided by 35 is 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 9176.1428
If we take 280 away from 300, we end up 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 11:
35 goes into 200 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 9176.14285
If we take 175 away from 200, we end up 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.

Moving on to step 12:
35 goes into 250 7 times with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 9176.142857
Subtracting 245 from 250 leaves us 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.

Advancing to step 13:
35 goes into 50 1 times with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 9176.1428571
Subtract 35 from 50 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 14:
150 divided by 35 is 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 9176.14285714
Deduct 140 from 150 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 9176.14285714, with a leftover of 1e-08.