Let's divide 21535 by 42
Our goal is to divide 21535 by 42.

Moving on 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
The remainder is 2 after subtracting 0 from 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 42

Moving on to step 2:
21 divided by 42 is 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Bring next digit (5) of the dividend behind the 21 and repeat the process: 215 / 42

Advancing to step 3:
42 goes into 215 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 210 away from 215, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 42

Step 4:
42 goes into 53 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
Subtract 42 from 53 to get 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 42

Advancing to step 5:
When dividing 115 by 42, we get 2 with a remainder of 31.
Record the quotient 2 as the next digit in the result. 
Result so far: 512.0
If we subtract 84 from 115, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 6:
42 goes into 310 7 times with a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 512.7
If we subtract 294 from 310, 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 7:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 512.73
If we subtract 126 from 160, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
If we divide 340 by 42, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 512.738
Subtracting 336 from 340 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.

Moving on to step 9:
If we divide 40 by 42, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 512.738
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.

Going ahead to step 10:
When dividing 400 by 42, we get 9 with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 512.73809
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
220 divided by 42 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 512.738095
Subtract 210 from 220 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.

Advancing to step 12:
When dividing 100 by 42, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 512.7380952
If we subtract 84 from 100, 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.

Moving on to step 13:
If we divide 160 by 42, we get 3 and a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 512.73809523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 512.73809523, with a leftover of 3.4e-08.