Let's divide 677738 by 33
Our goal is to divide 677738 by 33.

Going ahead to step 1:
When dividing 6 by 33, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 33

Step 2:
The number 33 fits into 67 2 times, leaving a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 66 from 67 and we're left with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 33

Going ahead to step 3:
When dividing 17 by 33, we get 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
If we take 0 away from 17, we end up with 17.
Bring next digit (7) of the dividend behind the 17 and repeat the process: 177 / 33

Moving on to step 4:
When dividing 177 by 33, we get 5 with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 205.0
The remainder is 12 after subtracting 165 from 177.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 33

Step 5:
If we divide 123 by 33, we get 3 and a remainder of 24.
Use 3 as the next digit of our solution. 
Result so far: 2053.0
Subtracting 99 from 123 leaves us with 24.
Bring next digit (8) of the dividend behind the 24 and repeat the process: 248 / 33

Advancing to step 6:
248 divided by 33 is 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 20537.0
Deduct 231 from 248 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.

On to step 7:
The number 33 fits into 170 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 20537.5
If we take 165 away from 170, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
50 divided by 33 is 1 with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 20537.51
If we subtract 33 from 50, we get 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:
170 divided by 33 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 20537.515
If we subtract 165 from 170, 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.

Step 10:
If we divide 50 by 33, we get 1 and a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 20537.5151
Deduct 33 from 50 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.

Step 11:
33 goes into 170 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 20537.51515
Subtracting 165 from 170 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
When dividing 50 by 33, we get 1 with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 20537.515151
If we subtract 33 from 50, we get 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 13:
If we divide 170 by 33, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 20537.5151515
Subtract 165 from 170 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.

Step 14:
If we divide 50 by 33, we get 1 and a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 20537.51515151
The remainder is 17 after subtracting 33 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 20537.51515151 with a remainder of 1.7e-08.