Let's divide 433983 by 13
Our goal is to divide 433983 by 13.

Going ahead to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 13

Let's proceed to step 2:
13 can be fit into 43 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 39 away from 43, we end up with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 13

Advancing to step 3:
The number 13 fits into 43 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 33.0
If we take 39 away from 43, we end up with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 13

Advancing to step 4:
When dividing 49 by 13, we get 3 with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 333.0
Subtracting 39 from 49 leaves us with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 13

On to step 5:
108 divided by 13 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 3338.0
Subtracting 104 from 108 leaves us with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 13

Step 6:
43 divided by 13 is 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 33383.0
If we take 39 away from 43, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 33383.3
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 33383.3
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 33383.307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 33383.3076
If we take 78 away from 90, 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 11:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 33383.30769
The remainder is 3 after subtracting 117 from 120.
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 12:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 33383.307692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 33383.3076923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 14:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 33383.3076923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 33383.3076923, and the remainder is 1e-08.