We're dividing 174130 by 35 
We're looking to find how many times 35 goes into 174130.

Advancing to step 1:
The number 35 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 35

Going ahead to step 2:
35 goes into 17 0 times with 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.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 35

Moving on to step 3:
The number 35 fits into 174 4 times, leaving a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 140 from 174 to 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
Deduct 315 from 341 and we're left with 26.
Include the next digit (3) from the dividend after 26, then repeat: 263 / 35

Advancing to step 5:
When dividing 263 by 35, we get 7 with a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 497.0
If we take 245 away from 263, we end up with 18.
Grab the next digit (0) from the dividend, add it to 18, then carry on: 180 / 35

Moving on to step 6:
The number 35 fits into 180 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 4975.0
The remainder is 5 after subtracting 175 from 180.
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 7:
The number 35 fits into 50 1 times, leaving a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 4975.1
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.

On to step 8:
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: 4975.14
Subtracting 140 from 150 leaves us 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:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 4975.142
The remainder is 30 after subtracting 70 from 100.
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:
If we divide 300 by 35, we get 8 and a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 4975.1428
Deduct 280 from 300 and we're left 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.

On to step 11:
When dividing 200 by 35, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 4975.14285
Subtracting 175 from 200 leaves us 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 12:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 4975.142857
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.

Let's proceed to step 13:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 4975.1428571
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.

Step 14:
35 goes into 150 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 4975.14285714
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.

The quotient of the division is 4975.14285714, and the remainder is 1e-08.