We're dividing 433434 by 213 
We want to figure out the number of times 433434 can be divided by 213.

Step 1:
4 divided by 213 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 213

On to step 2:
213 can be fit into 43 0 times, resulting in a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Bring next digit (3) of the dividend behind the 43 and repeat the process: 433 / 213

Let's proceed to step 3:
213 can be fit into 433 2 times, resulting in a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 426 from 433 to get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 213

On to step 4:
213 can be fit into 74 0 times, resulting in a remainder of 74.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Subtract 0 from 74 to get 74.
Bring next digit (3) of the dividend behind the 74 and repeat the process: 743 / 213

Advancing to step 5:
If we divide 743 by 213, we get 3 and a remainder of 104.
Write down 3 as next digit of the result. 
Result so far: 203.0
Deduct 639 from 743 and we're left with 104.
Append the next digit (4) from the dividend to 104 and continue with: 1044 / 213

Moving on to step 6:
The number 213 fits into 1044 4 times, leaving a remainder of 192.
Use 4 as the next digit of our solution. 
Result so far: 2034.0
The remainder is 192 after subtracting 852 from 1044.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Advancing to step 7:
The number 213 fits into 1920 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 2034.9
If we subtract 1917 from 1920, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
30 divided by 213 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 2034.9
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
The number 213 fits into 300 1 times, leaving a remainder of 87.
Put 1 as the next digit of the answer. 
Result so far: 2034.901
If we take 213 away from 300, we end up with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Moving on to step 10:
The number 213 fits into 870 4 times, leaving a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 2034.9014
If we subtract 852 from 870, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
213 goes into 180 0 times with a remainder of 180.
The number 0 becomes the next digit in our result. 
Result so far: 2034.9014
The remainder is 180 after subtracting 0 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Going ahead to step 12:
213 can be fit into 1800 8 times, resulting in a remainder of 96.
Write down 8 as next digit of the result. 
Result so far: 2034.901408
If we subtract 1704 from 1800, we get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

On to step 13:
960 divided by 213 is 4 with a remainder of 108.
Record the quotient 4 as the next digit in the result. 
Result so far: 2034.9014084
Subtract 852 from 960 to get 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Step 14:
213 goes into 1080 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 2034.90140845
Deduct 1065 from 1080 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 2034.90140845, and the remainder is 1.5e-08.