We divide 87669 by 33
We want to divide 87669 by 33.

On to step 1:
When dividing 8 by 33, we get 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 33

Moving on to step 2:
33 can be fit into 87 2 times, resulting in a remainder of 21.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 66 away from 87, we end up with 21.
Fetch the next digit (6) from the dividend, attach it to 21 and continue: 216 / 33

Advancing to step 3:
33 can be fit into 216 6 times, resulting in a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Subtracting 198 from 216 leaves us with 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 33

Advancing to step 4:
33 can be fit into 186 5 times, resulting in a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 265.0
Subtracting 165 from 186 leaves us with 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 33

Going ahead to step 5:
33 can be fit into 219 6 times, resulting in a remainder of 21.
Write down 6 as next digit of the result. 
Result so far: 2656.0
The remainder is 21 after subtracting 198 from 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 6:
The number 33 fits into 210 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 2656.6
If we take 198 away from 210, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
If we divide 120 by 33, we get 3 and a remainder of 21.
The next digit of our result is 3. 
Result so far: 2656.63
Subtracting 99 from 120 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
If we divide 210 by 33, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 2656.636
Subtract 198 from 210 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
33 goes into 120 3 times with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 2656.6363
Subtracting 99 from 120 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 10:
33 can be fit into 210 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 2656.63636
Subtract 198 from 210 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
The number 33 fits into 120 3 times, leaving a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 2656.636363
Deduct 99 from 120 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 12:
The number 33 fits into 210 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 2656.6363636
If we take 198 away from 210, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
120 divided by 33 is 3 with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 2656.63636363
Subtract 99 from 120 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 2656.63636363 with a balance of 2.1e-08.