We're dividing 9007825 by 618 
We're looking to find how many times 618 goes into 9007825.

Going ahead to step 1:
618 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 618

Advancing to step 2:
90 divided by 618 is 0 with a remainder of 90.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 90 and we're left with 90.
Append the next digit (0) from the dividend to 90 and continue with: 900 / 618

Advancing to step 3:
The number 618 fits into 900 1 times, leaving a remainder of 282.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 618 from 900 leaves us with 282.
Append the next digit (7) from the dividend to 282 and continue with: 2827 / 618

Step 4:
When dividing 2827 by 618, we get 4 with a remainder of 355.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtract 2472 from 2827 to get 355.
Bring next digit (8) of the dividend behind the 355 and repeat the process: 3558 / 618

Moving on to step 5:
618 goes into 3558 5 times with a remainder of 468.
Put 5 as the next digit of the answer. 
Result so far: 145.0
If we subtract 3090 from 3558, we get 468.
Take the next digit (2) from the dividend and append it to 468, then repeat: 4682 / 618

Going ahead to step 6:
618 goes into 4682 7 times with a remainder of 356.
The number 7 becomes the next digit in our result. 
Result so far: 1457.0
If we take 4326 away from 4682, we end up with 356.
Include the next digit (5) from the dividend after 356, then repeat: 3565 / 618

Going ahead to step 7:
If we divide 3565 by 618, we get 5 and a remainder of 475.
The number 5 becomes the next digit in our result. 
Result so far: 14575.0
Subtract 3090 from 3565 to get 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Let's proceed to step 8:
618 can be fit into 4750 7 times, resulting in a remainder of 424.
The next digit of our result is 7. 
Result so far: 14575.7
The remainder is 424 after subtracting 4326 from 4750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Let's proceed to step 9:
The number 618 fits into 4240 6 times, leaving a remainder of 532.
Put 6 as the next digit of the answer. 
Result so far: 14575.76
If we subtract 3708 from 4240, we get 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

Let's proceed to step 10:
618 goes into 5320 8 times with a remainder of 376.
The next digit of our result is 8. 
Result so far: 14575.768
Deduct 4944 from 5320 and we're left with 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Advancing to step 11:
If we divide 3760 by 618, we get 6 and a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 14575.7686
If we take 3708 away from 3760, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 12:
If we divide 520 by 618, we get 0 and a remainder of 520.
Write down 0 as next digit of the result. 
Result so far: 14575.7686
The remainder is 520 after subtracting 0 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

On to step 13:
5200 divided by 618 is 8 with a remainder of 256.
The next digit of our result is 8. 
Result so far: 14575.768608
Subtract 4944 from 5200 to get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Going ahead to step 14:
The number 618 fits into 2560 4 times, leaving a remainder of 88.
The number 4 becomes the next digit in our result. 
Result so far: 14575.7686084
Deduct 2472 from 2560 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 15:
618 goes into 880 1 times with a remainder of 262.
Put 1 as the next digit of the answer. 
Result so far: 14575.76860841
If we subtract 618 from 880, we get 262.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2620, and continue the process.

The final result is 14575.76860841 with a remainder of 2.62e-07.