Let's divide 419689 by 33
Our goal is to divide 419689 by 33.

Going ahead to step 1:
If we divide 4 by 33, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 33

Going ahead to step 2:
41 divided by 33 is 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 33 from 41 to get 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 33

On to step 3:
89 divided by 33 is 2 with a remainder of 23.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 66 from 89 leaves us with 23.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 33

Step 4:
33 can be fit into 236 7 times, resulting in a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 127.0
If we take 231 away from 236, we end up with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 33

On to step 5:
33 goes into 58 1 times with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1271.0
If we subtract 33 from 58, we get 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 33

Let's proceed to step 6:
33 goes into 259 7 times with a remainder of 28.
Put 7 as the next digit of the answer. 
Result so far: 12717.0
Deduct 231 from 259 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
33 goes into 280 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 12717.8
Subtract 264 from 280 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
33 can be fit into 160 4 times, resulting in a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 12717.84
Subtracting 132 from 160 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
When dividing 280 by 33, we get 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 12717.848
If we subtract 264 from 280, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
If we divide 160 by 33, we get 4 and a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 12717.8484
If we take 132 away from 160, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 11:
33 goes into 280 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 12717.84848
If we take 264 away from 280, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
The number 33 fits into 160 4 times, leaving a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 12717.848484
Subtracting 132 from 160 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 13:
If we divide 280 by 33, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 12717.8484848
Subtracting 264 from 280 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
33 can be fit into 160 4 times, resulting in a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 12717.84848484
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 12717.84848484, and the remainder is 2.8e-08.