182001 ÷ 35 
We're looking to find how many times 35 goes into 182001.

Step 1:
When dividing 1 by 35, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 35

On to step 2:
If we divide 18 by 35, we get 0 and a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 18, we get 18.
Bring next digit (2) of the dividend behind the 18 and repeat the process: 182 / 35

Going ahead to step 3:
When dividing 182 by 35, we get 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 5.0
If we take 175 away from 182, we end up with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 35

Advancing to step 4:
If we divide 70 by 35, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Subtract 70 from 70 to get 0.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 35

Moving on to step 5:
When dividing 0 by 35, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 520.0
If we take 0 away from 0, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 35

Going ahead to step 6:
The number 35 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 5200.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
If we divide 10 by 35, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5200.0
If we take 0 away from 10, we end up 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.

Moving on to step 8:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 5200.02
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.

Going ahead to step 9:
The number 35 fits into 300 8 times, leaving a remainder of 20.
The next digit of our result is 8. 
Result so far: 5200.028
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 10:
200 divided by 35 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 5200.0285
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.

Going ahead to step 11:
35 can be fit into 250 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 5200.02857
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.

Moving on to step 12:
50 divided by 35 is 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 5200.028571
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.

Let's proceed to step 13:
If we divide 150 by 35, we get 4 and a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 5200.0285714
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.

Let's proceed to step 14:
35 goes into 100 2 times with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 5200.02857142
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.

In conclusion, the division gives 5200.02857142 with a balance of 3e-08.