21655634 divided by 633 
We want to figure out the number of times 21655634 can be divided by 633.

On to step 1:
633 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 633

Let's proceed to step 2:
633 goes into 21 0 times with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 633

Going ahead to step 3:
633 can be fit into 216 0 times, resulting in a remainder of 216.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 216, we get 216.
Grab the next digit (5) from the dividend, add it to 216, then carry on: 2165 / 633

Moving on to step 4:
2165 divided by 633 is 3 with a remainder of 266.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 266 after subtracting 1899 from 2165.
Take the next digit (5) from the dividend and append it to 266, then repeat: 2665 / 633

Step 5:
The number 633 fits into 2665 4 times, leaving a remainder of 133.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
If we take 2532 away from 2665, we end up with 133.
Bring next digit (6) of the dividend behind the 133 and repeat the process: 1336 / 633

Let's proceed to step 6:
If we divide 1336 by 633, we get 2 and a remainder of 70.
The number 2 becomes the next digit in our result. 
Result so far: 342.0
If we subtract 1266 from 1336, we get 70.
Append the next digit (3) from the dividend to 70 and continue with: 703 / 633

Advancing to step 7:
If we divide 703 by 633, we get 1 and a remainder of 70.
Record the quotient 1 as the next digit in the result. 
Result so far: 3421.0
Subtracting 633 from 703 leaves us with 70.
Bring next digit (4) of the dividend behind the 70 and repeat the process: 704 / 633

Advancing to step 8:
When dividing 704 by 633, we get 1 with a remainder of 71.
Record the quotient 1 as the next digit in the result. 
Result so far: 34211.0
If we subtract 633 from 704, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 9:
If we divide 710 by 633, we get 1 and a remainder of 77.
Put 1 as the next digit of the answer. 
Result so far: 34211.1
Subtract 633 from 710 to get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 10:
633 goes into 770 1 times with a remainder of 137.
Record the quotient 1 as the next digit in the result. 
Result so far: 34211.11
The remainder is 137 after subtracting 633 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

The quotient of the division is 34211.11, and the remainder is 0.137.