We look at the division of 406565 by 33 
Our goal is to divide 406565 by 33.

Let's proceed to step 1:
33 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 33

Moving on to step 2:
When dividing 40 by 33, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 33 from 40 and we're left with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 33

Step 3:
When dividing 76 by 33, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 66 away from 76, we end up with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 33

Advancing to step 4:
The number 33 fits into 105 3 times, leaving a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 123.0
Deduct 99 from 105 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 33

On to step 5:
33 can be fit into 66 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 1232.0
Deduct 66 from 66 and we're left with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 33

Moving on to step 6:
When dividing 5 by 33, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 12320.0
If we subtract 0 from 5, 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.

Moving on to step 7:
When dividing 50 by 33, we get 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 12320.1
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.

Going ahead to step 8:
If we divide 170 by 33, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 12320.15
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.

Advancing to step 9:
33 can be fit into 50 1 times, resulting in a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 12320.151
Subtract 33 from 50 to 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.

Moving on to step 10:
If we divide 170 by 33, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 12320.1515
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.

Advancing to step 11:
33 can be fit into 50 1 times, resulting in a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 12320.15151
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.

Advancing to step 12:
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: 12320.151515
The remainder is 5 after subtracting 165 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
33 goes into 50 1 times with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 12320.1515151
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.

Advancing to step 14:
When dividing 170 by 33, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 12320.15151515
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.

The quotient of the division is 12320.15151515, and the remainder is 5e-09.