Let's divide 632657 by 30
We want to figure out the number of times 632657 can be divided by 30.

Going ahead to step 1:
If we divide 6 by 30, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 30

Step 2:
30 goes into 63 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 60 from 63 leaves us with 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 30

Moving on to step 3:
30 can be fit into 32 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we take 30 away from 32, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 30

On to step 4:
30 can be fit into 26 0 times, resulting in a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 210.0
If we subtract 0 from 26, we get 26.
Append the next digit (5) from the dividend to 26 and continue with: 265 / 30

Going ahead to step 5:
The number 30 fits into 265 8 times, leaving a remainder of 25.
Write down 8 as next digit of the result. 
Result so far: 2108.0
Subtract 240 from 265 to get 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 30

Step 6:
When dividing 257 by 30, we get 8 with a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 21088.0
The remainder is 17 after subtracting 240 from 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
170 divided by 30 is 5 with a remainder of 20.
The next digit of our result is 5. 
Result so far: 21088.5
Subtracting 150 from 170 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
If we divide 200 by 30, we get 6 and a remainder of 20.
The next digit of our result is 6. 
Result so far: 21088.56
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
The number 30 fits into 200 6 times, leaving a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 21088.566
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 21088.566 with a remainder of 0.002.