We look at the division of 632557 by 75 
We want to figure out the number of times 632557 can be divided by 75.

On to step 1:
75 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 75

Advancing to step 2:
The number 75 fits into 63 0 times, leaving a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Fetch the next digit (2) from the dividend, attach it to 63 and continue: 632 / 75

Advancing to step 3:
The number 75 fits into 632 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 8.0
If we take 600 away from 632, we end up with 32.
Take the next digit (5) from the dividend and append it to 32, then repeat: 325 / 75

Advancing to step 4:
75 can be fit into 325 4 times, resulting in a remainder of 25.
Use 4 as the next digit of our solution. 
Result so far: 84.0
If we take 300 away from 325, we end up with 25.
Include the next digit (5) from the dividend after 25, then repeat: 255 / 75

Advancing to step 5:
75 goes into 255 3 times with a remainder of 30.
The next digit of our result is 3. 
Result so far: 843.0
Deduct 225 from 255 and we're left with 30.
Fetch the next digit (7) from the dividend, attach it to 30 and continue: 307 / 75

Step 6:
307 divided by 75 is 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 8434.0
Subtract 300 from 307 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
70 divided by 75 is 0 with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 8434.0
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 8:
75 can be fit into 700 9 times, resulting in a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 8434.09
If we subtract 675 from 700, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 8434.093
Deduct 225 from 250 and we're left 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.

On to step 10:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 8434.0933
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 8434.0933 with a balance of 0.00025.