33674 divided by 21 
Our goal is to divide 33674 by 21.

Going ahead to step 1:
When dividing 3 by 21, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 21

Step 2:
If we divide 33 by 21, we get 1 and a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 21 away from 33, we end up with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 21

Going ahead to step 3:
When dividing 126 by 21, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we subtract 126 from 126, we get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 21

Step 4:
21 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 160.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 21

Let's proceed to step 5:
21 can be fit into 74 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 1603.0
The remainder is 11 after subtracting 63 from 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 6:
21 can be fit into 110 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1603.5
If we subtract 105 from 110, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
21 goes into 50 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 1603.52
Deduct 42 from 50 and we're left 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.

Moving on to step 8:
21 goes into 80 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 1603.523
Deduct 63 from 80 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
If we divide 170 by 21, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 1603.5238
Subtract 168 from 170 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
When dividing 20 by 21, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 1603.5238
If we take 0 away from 20, we end up 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.

Let's proceed to step 11:
21 can be fit into 200 9 times, resulting in a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 1603.523809
Deduct 189 from 200 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 12:
The number 21 fits into 110 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 1603.5238095
Subtract 105 from 110 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 13:
The number 21 fits into 50 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 1603.52380952
The remainder is 8 after subtracting 42 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 1603.52380952 with a remainder of 8e-09.