We're dividing 7953289 by 633 
Our goal is to divide 7953289 by 633.

On to step 1:
The number 633 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 633

Advancing to step 2:
The number 633 fits into 79 0 times, leaving a remainder of 79.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 79, we end up with 79.
Grab the next digit (5) from the dividend, add it to 79, then carry on: 795 / 633

On to step 3:
795 divided by 633 is 1 with a remainder of 162.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 162 after subtracting 633 from 795.
Fetch the next digit (3) from the dividend, attach it to 162 and continue: 1623 / 633

On to step 4:
633 can be fit into 1623 2 times, resulting in a remainder of 357.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 1266 from 1623 leaves us with 357.
Bring next digit (2) of the dividend behind the 357 and repeat the process: 3572 / 633

Let's proceed to step 5:
633 goes into 3572 5 times with a remainder of 407.
The number 5 becomes the next digit in our result. 
Result so far: 125.0
If we take 3165 away from 3572, we end up with 407.
Bring next digit (8) of the dividend behind the 407 and repeat the process: 4078 / 633

Moving on to step 6:
When dividing 4078 by 633, we get 6 with a remainder of 280.
Record the quotient 6 as the next digit in the result. 
Result so far: 1256.0
Subtract 3798 from 4078 to get 280.
Fetch the next digit (9) from the dividend, attach it to 280 and continue: 2809 / 633

Going ahead to step 7:
The number 633 fits into 2809 4 times, leaving a remainder of 277.
The number 4 becomes the next digit in our result. 
Result so far: 12564.0
Deduct 2532 from 2809 and we're left with 277.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2770, and continue the process.

Advancing to step 8:
If we divide 2770 by 633, we get 4 and a remainder of 238.
The number 4 becomes the next digit in our result. 
Result so far: 12564.4
Subtract 2532 from 2770 to get 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Going ahead to step 9:
2380 divided by 633 is 3 with a remainder of 481.
Write down 3 as next digit of the result. 
Result so far: 12564.43
Deduct 1899 from 2380 and we're left with 481.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4810, and continue the process.

Step 10:
633 can be fit into 4810 7 times, resulting in a remainder of 379.
The number 7 becomes the next digit in our result. 
Result so far: 12564.437
If we take 4431 away from 4810, we end up 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.

Moving on to step 11:
If we divide 3790 by 633, we get 5 and a remainder of 625.
Record the quotient 5 as the next digit in the result. 
Result so far: 12564.4375
The remainder is 625 after subtracting 3165 from 3790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6250, and continue the process.

Moving on to step 12:
6250 divided by 633 is 9 with a remainder of 553.
Put 9 as the next digit of the answer. 
Result so far: 12564.43759
The remainder is 553 after subtracting 5697 from 6250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5530, and continue the process.

Moving on to step 13:
When dividing 5530 by 633, we get 8 with a remainder of 466.
Put 8 as the next digit of the answer. 
Result so far: 12564.437598
Subtract 5064 from 5530 to get 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Step 14:
The number 633 fits into 4660 7 times, leaving a remainder of 229.
The next digit of our result is 7. 
Result so far: 12564.4375987
Subtracting 4431 from 4660 leaves us with 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Step 15:
When dividing 2290 by 633, we get 3 with a remainder of 391.
The next digit of our result is 3. 
Result so far: 12564.43759873
If we take 1899 away from 2290, we end up with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

In conclusion, the division gives 12564.43759873 with a balance of 3.91e-07.