Let's divide 677965 by 33
We're looking to find how many times 33 goes into 677965.

On to step 1:
If we divide 6 by 33, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 33

Step 2:
67 divided by 33 is 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 66 away from 67, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 33

On to step 3:
The number 33 fits into 17 0 times, leaving a remainder of 17.
The next digit of our result is 0. 
Result so far: 20.0
If we take 0 away from 17, we end up with 17.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 33

Going ahead to step 4:
When dividing 179 by 33, we get 5 with a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 205.0
Subtracting 165 from 179 leaves us with 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 33

Advancing to step 5:
The number 33 fits into 146 4 times, leaving a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 2054.0
Subtract 132 from 146 to get 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 33

Going ahead to step 6:
The number 33 fits into 145 4 times, leaving a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 20544.0
The remainder is 13 after subtracting 132 from 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
If we divide 130 by 33, we get 3 and a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 20544.3
If we take 99 away from 130, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 8:
The number 33 fits into 310 9 times, leaving a remainder of 13.
The next digit of our result is 9. 
Result so far: 20544.39
If we subtract 297 from 310, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
When dividing 130 by 33, we get 3 with a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 20544.393
Deduct 99 from 130 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 10:
33 can be fit into 310 9 times, resulting in a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 20544.3939
Subtract 297 from 310 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 11:
33 goes into 130 3 times with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 20544.39393
Subtract 99 from 130 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 12:
33 can be fit into 310 9 times, resulting in a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 20544.393939
Subtract 297 from 310 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 13:
33 goes into 130 3 times with a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 20544.3939393
Deduct 99 from 130 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 14:
When dividing 310 by 33, we get 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 20544.39393939
Deduct 297 from 310 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 20544.39393939 with a remaining 1.3e-08.