We're dividing 9515 by 42 
Our goal is to divide 9515 by 42.

On to step 1:
When dividing 9 by 42, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 42

Advancing to step 2:
When dividing 95 by 42, we get 2 with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 84 away from 95, we end up with 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 42

Moving on to step 3:
If we divide 111 by 42, we get 2 and a remainder of 27.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Deduct 84 from 111 and we're left with 27.
Grab the next digit (5) from the dividend, add it to 27, then carry on: 275 / 42

Advancing to step 4:
275 divided by 42 is 6 with a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 226.0
Deduct 252 from 275 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 5:
42 goes into 230 5 times with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 226.5
Deduct 210 from 230 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 6:
42 can be fit into 200 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 226.54
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
320 divided by 42 is 7 with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 226.547
If we subtract 294 from 320, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
260 divided by 42 is 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 226.5476
The remainder is 8 after subtracting 252 from 260.
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 9:
42 can be fit into 80 1 times, resulting in a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 226.54761
If we take 42 away from 80, we end up 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.

Moving on to step 10:
42 can be fit into 380 9 times, resulting in a remainder of 2.
The next digit of our result is 9. 
Result so far: 226.547619
Subtracting 378 from 380 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
42 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 226.547619
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
The number 42 fits into 200 4 times, leaving a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 226.54761904
Subtract 168 from 200 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 226.54761904 with a balance of 3.2e-08.