We look at the division of 632561 by 74 
We want to divide 632561 by 74.

Going ahead to step 1:
6 divided by 74 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 74

Moving on to step 2:
When dividing 63 by 74, we get 0 with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Grab the next digit (2) from the dividend, add it to 63, then carry on: 632 / 74

Step 3:
632 divided by 74 is 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 592 from 632 to get 40.
Append the next digit (5) from the dividend to 40 and continue with: 405 / 74

Let's proceed to step 4:
74 can be fit into 405 5 times, resulting in a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 85.0
The remainder is 35 after subtracting 370 from 405.
Bring next digit (6) of the dividend behind the 35 and repeat the process: 356 / 74

Step 5:
74 goes into 356 4 times with a remainder of 60.
Write down 4 as next digit of the result. 
Result so far: 854.0
The remainder is 60 after subtracting 296 from 356.
Append the next digit (1) from the dividend to 60 and continue with: 601 / 74

On to step 6:
The number 74 fits into 601 8 times, leaving a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 8548.0
The remainder is 9 after subtracting 592 from 601.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
The number 74 fits into 90 1 times, leaving a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 8548.1
The remainder is 16 after subtracting 74 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
When dividing 160 by 74, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 8548.12
Subtracting 148 from 160 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
74 goes into 120 1 times with a remainder of 46.
Record the quotient 1 as the next digit in the result. 
Result so far: 8548.121
Deduct 74 from 120 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 10:
If we divide 460 by 74, we get 6 and a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 8548.1216
Deduct 444 from 460 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
The number 74 fits into 160 2 times, leaving a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 8548.12162
If we subtract 148 from 160, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
The number 74 fits into 120 1 times, leaving a remainder of 46.
Put 1 as the next digit of the answer. 
Result so far: 8548.121621
Subtract 74 from 120 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 13:
460 divided by 74 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 8548.1216216
If we take 444 away from 460, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
160 divided by 74 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 8548.12162162
If we take 148 away from 160, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 8548.12162162 with a balance of 1.2e-08.