We're dividing 173510 by 35 
We want to figure out the number of times 173510 can be divided by 35.

Let's proceed to step 1:
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: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 35

Advancing to step 2:
If we divide 17 by 35, we get 0 and a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 35

On to step 3:
When dividing 173 by 35, we get 4 with a remainder of 33.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 140 from 173, we get 33.
Fetch the next digit (5) from the dividend, attach it to 33 and continue: 335 / 35

Advancing to step 4:
If we divide 335 by 35, we get 9 and a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
Subtract 315 from 335 to get 20.
Append the next digit (1) from the dividend to 20 and continue with: 201 / 35

Going ahead to step 5:
The number 35 fits into 201 5 times, leaving a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 495.0
The remainder is 26 after subtracting 175 from 201.
Include the next digit (0) from the dividend after 26, then repeat: 260 / 35

Step 6:
If we divide 260 by 35, we get 7 and a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 4957.0
Deduct 245 from 260 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.

Going ahead to step 7:
150 divided by 35 is 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 4957.4
Subtract 140 from 150 to 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.

On to step 8:
If we divide 100 by 35, we get 2 and a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 4957.42
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 9:
If we divide 300 by 35, we get 8 and a remainder of 20.
The next digit of our result is 8. 
Result so far: 4957.428
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.

Advancing to step 10:
35 goes into 200 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 4957.4285
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.

Going ahead to step 11:
35 goes into 250 7 times with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 4957.42857
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.

On to step 12:
50 divided by 35 is 1 with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 4957.428571
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.

Going ahead to step 13:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 4957.4285714
Subtract 140 from 150 to 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.

Going ahead to step 14:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The next digit of our result is 2. 
Result so far: 4957.42857142
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.

The final outcome is 4957.42857142, with a leftover of 3e-08.