Let's divide 21433 by 42
We're looking to find how many times 42 goes into 21433.

Going ahead to step 1:
42 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 42

Advancing to step 2:
The number 42 fits into 21 0 times, leaving a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 42

Moving on to step 3:
If we divide 214 by 42, we get 5 and a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 4 after subtracting 210 from 214.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 42

Going ahead to step 4:
When dividing 43 by 42, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 51.0
Deduct 42 from 43 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 42

Advancing to step 5:
If we divide 13 by 42, we get 0 and a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 510.0
If we subtract 0 from 13, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 6:
42 goes into 130 3 times with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 510.3
The remainder is 4 after subtracting 126 from 130.
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 7:
When dividing 40 by 42, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 510.3
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
When dividing 400 by 42, we get 9 with a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 510.309
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
220 divided by 42 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 510.3095
Subtracting 210 from 220 leaves us 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.

Step 10:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 510.30952
If we take 84 away from 100, 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.

On to step 11:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 510.309523
Subtracting 126 from 160 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 12:
When dividing 340 by 42, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 510.3095238
If we take 336 away from 340, 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.

Moving on to step 13:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 510.3095238
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 510.3095238 with a remaining 4e-08.