We look at the division of 633600 by 61 
We want to figure out the number of times 633600 can be divided by 61.

Step 1:
The number 61 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our 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 / 61

Let's proceed to step 2:
If we divide 63 by 61, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 61 from 63 leaves us with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 61

On to step 3:
The number 61 fits into 23 0 times, leaving a remainder of 23.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 23 leaves us with 23.
Append the next digit (6) from the dividend to 23 and continue with: 236 / 61

Let's proceed to step 4:
If we divide 236 by 61, we get 3 and a remainder of 53.
Put 3 as the next digit of the answer. 
Result so far: 103.0
Deduct 183 from 236 and we're left with 53.
Grab the next digit (0) from the dividend, add it to 53, then carry on: 530 / 61

Going ahead to step 5:
The number 61 fits into 530 8 times, leaving a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 1038.0
Subtracting 488 from 530 leaves us with 42.
Take the next digit (0) from the dividend and append it to 42, then repeat: 420 / 61

On to step 6:
61 can be fit into 420 6 times, resulting in a remainder of 54.
The next digit of our result is 6. 
Result so far: 10386.0
Subtract 366 from 420 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 7:
The number 61 fits into 540 8 times, leaving a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 10386.8
Subtracting 488 from 540 leaves us 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.

Going ahead to step 8:
The number 61 fits into 520 8 times, leaving a remainder of 32.
The next digit of our result is 8. 
Result so far: 10386.88
Subtract 488 from 520 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 10386.88 and a remainder of 0.032.