We look at the division of 2613 by 42 
We want to divide 2613 by 42.

On to step 1:
The number 42 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 42

Advancing to step 2:
The number 42 fits into 26 0 times, leaving a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Bring next digit (1) of the dividend behind the 26 and repeat the process: 261 / 42

Advancing to step 3:
If we divide 261 by 42, we get 6 and a remainder of 9.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 252 from 261 leaves us with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 42

Going ahead to step 4:
If we divide 93 by 42, we get 2 and a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we take 84 away from 93, 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.

Step 5:
42 goes into 90 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 62.2
Subtract 84 from 90 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 6:
42 goes into 60 1 times with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 62.21
If we take 42 away from 60, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
When dividing 180 by 42, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 62.214
Subtracting 168 from 180 leaves us 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 8:
If we divide 120 by 42, we get 2 and a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 62.2142
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
42 can be fit into 360 8 times, resulting in a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 62.21428
If we take 336 away from 360, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
42 goes into 240 5 times with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 62.214285
If we take 210 away from 240, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
42 goes into 300 7 times with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 62.2142857
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
60 divided by 42 is 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 62.21428571
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 62.21428571 with a balance of 1.8e-08.