We're dividing 633432 by 61 
We want to divide 633432 by 61.

Advancing to step 1:
61 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 61

Let's proceed to step 2:
61 goes into 63 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
If we take 61 away from 63, we end up with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 61

Moving on to step 3:
The number 61 fits into 23 0 times, leaving a remainder of 23.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 23, we get 23.
Bring next digit (4) of the dividend behind the 23 and repeat the process: 234 / 61

Step 4:
The number 61 fits into 234 3 times, leaving a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 103.0
Deduct 183 from 234 and we're left with 51.
Bring next digit (3) of the dividend behind the 51 and repeat the process: 513 / 61

On to step 5:
61 goes into 513 8 times with a remainder of 25.
The next digit of our result is 8. 
Result so far: 1038.0
If we subtract 488 from 513, we get 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 61

Let's proceed to step 6:
If we divide 252 by 61, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 10384.0
Subtracting 244 from 252 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
61 goes into 80 1 times with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 10384.1
Subtracting 61 from 80 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
The number 61 fits into 190 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 10384.13
Subtracting 183 from 190 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
When dividing 70 by 61, we get 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10384.131
If we take 61 away from 70, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
The number 61 fits into 90 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 10384.1311
If we subtract 61 from 90, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

In conclusion, the division gives 10384.1311 with a balance of 0.00029.