We divide 306521 by 42
Our goal is to divide 306521 by 42.

Let's proceed to step 1:
When dividing 3 by 42, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 42

On to step 2:
The number 42 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Include the next digit (6) from the dividend after 30, then repeat: 306 / 42

On to step 3:
42 goes into 306 7 times with a remainder of 12.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 294 from 306 and we're left with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 42

Advancing to step 4:
42 goes into 125 2 times with a remainder of 41.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
Subtracting 84 from 125 leaves us with 41.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 42

On to step 5:
The number 42 fits into 412 9 times, leaving a remainder of 34.
Write down 9 as next digit of the result. 
Result so far: 729.0
If we take 378 away from 412, we end up with 34.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 42

Let's proceed to step 6:
341 divided by 42 is 8 with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 7298.0
If we subtract 336 from 341, 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.

Step 7:
When dividing 50 by 42, we get 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 7298.1
Subtracting 42 from 50 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
When dividing 80 by 42, we get 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 7298.11
Deduct 42 from 80 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 7298.11 and a remainder of 0.038.