We look at the division of 17874175 by 507 
Our goal is to divide 17874175 by 507.

Moving on to step 1:
1 divided by 507 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 507

On to step 2:
When dividing 17 by 507, we get 0 with 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.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 507

Advancing to step 3:
If we divide 178 by 507, we get 0 and a remainder of 178.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 178 leaves us with 178.
Bring next digit (7) of the dividend behind the 178 and repeat the process: 1787 / 507

On to step 4:
1787 divided by 507 is 3 with a remainder of 266.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 1521 from 1787 leaves us with 266.
Take the next digit (4) from the dividend and append it to 266, then repeat: 2664 / 507

Let's proceed to step 5:
If we divide 2664 by 507, we get 5 and a remainder of 129.
Put 5 as the next digit of the answer. 
Result so far: 35.0
Deduct 2535 from 2664 and we're left with 129.
Fetch the next digit (1) from the dividend, attach it to 129 and continue: 1291 / 507

On to step 6:
If we divide 1291 by 507, we get 2 and a remainder of 277.
Put 2 as the next digit of the answer. 
Result so far: 352.0
If we subtract 1014 from 1291, we get 277.
Grab the next digit (7) from the dividend, add it to 277, then carry on: 2777 / 507

Going ahead to step 7:
If we divide 2777 by 507, we get 5 and a remainder of 242.
Use 5 as the next digit of our solution. 
Result so far: 3525.0
The remainder is 242 after subtracting 2535 from 2777.
Include the next digit (5) from the dividend after 242, then repeat: 2425 / 507

Let's proceed to step 8:
If we divide 2425 by 507, we get 4 and a remainder of 397.
Write down 4 as next digit of the result. 
Result so far: 35254.0
If we take 2028 away from 2425, we end up with 397.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3970, and continue the process.

Moving on to step 9:
When dividing 3970 by 507, we get 7 with a remainder of 421.
The next digit of our result is 7. 
Result so far: 35254.7
Deduct 3549 from 3970 and we're left with 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4210, and continue the process.

Moving on to step 10:
507 can be fit into 4210 8 times, resulting in a remainder of 154.
Use 8 as the next digit of our solution. 
Result so far: 35254.78
Subtract 4056 from 4210 to get 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Moving on to step 11:
507 goes into 1540 3 times with a remainder of 19.
The next digit of our result is 3. 
Result so far: 35254.783
The remainder is 19 after subtracting 1521 from 1540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 12:
The number 507 fits into 190 0 times, leaving a remainder of 190.
Write down 0 as next digit of the result. 
Result so far: 35254.783
If we take 0 away from 190, we end up with 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Going ahead to step 13:
The number 507 fits into 1900 3 times, leaving a remainder of 379.
Use 3 as the next digit of our solution. 
Result so far: 35254.78303
Deduct 1521 from 1900 and we're left with 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Let's proceed to step 14:
3790 divided by 507 is 7 with a remainder of 241.
The number 7 becomes the next digit in our result. 
Result so far: 35254.783037
Deduct 3549 from 3790 and we're left with 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2410, and continue the process.

Let's proceed to step 15:
If we divide 2410 by 507, we get 4 and a remainder of 382.
Write down 4 as next digit of the result. 
Result so far: 35254.7830374
The remainder is 382 after subtracting 2028 from 2410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3820, and continue the process.

Step 16:
When dividing 3820 by 507, we get 7 with a remainder of 271.
The next digit of our result is 7. 
Result so far: 35254.78303747
If we take 3549 away from 3820, we end up with 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

The final result is 35254.78303747 with a remainder of 2.71e-07.