174172 ÷ 35 
We want to divide 174172 by 35.

Let's proceed to step 1:
1 divided by 35 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 35

Going ahead to step 2:
35 can be fit into 17 0 times, resulting in a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 35

Going ahead to step 3:
35 can be fit into 174 4 times, resulting in a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 140 from 174, we get 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 35

Let's proceed to step 4:
341 divided by 35 is 9 with a remainder of 26.
Put 9 as the next digit of the answer. 
Result so far: 49.0
Subtracting 315 from 341 leaves us with 26.
Grab the next digit (7) from the dividend, add it to 26, then carry on: 267 / 35

On to step 5:
267 divided by 35 is 7 with a remainder of 22.
The next digit of our result is 7. 
Result so far: 497.0
Subtract 245 from 267 to get 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 35

Let's proceed to step 6:
222 divided by 35 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 4976.0
If we subtract 210 from 222, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
35 goes into 120 3 times with a remainder of 15.
The next digit of our result is 3. 
Result so far: 4976.3
Subtract 105 from 120 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.

Step 8:
When dividing 150 by 35, we get 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 4976.34
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.

Let's proceed to step 9:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 4976.342
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.

Step 10:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 4976.3428
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.

Moving on to step 11:
35 can be fit into 200 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 4976.34285
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.

Let's proceed to step 12:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 4976.342857
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.

Going ahead to step 13:
If we divide 50 by 35, we get 1 and a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 4976.3428571
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.

Step 14:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The next digit of our result is 4. 
Result so far: 4976.34285714
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.

In conclusion, the division gives 4976.34285714 with a balance of 1e-08.