113013 ÷ 42 
We're looking to find how many times 42 goes into 113013.

Going ahead to step 1:
The number 42 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 42

Moving on to step 2:
42 goes into 11 0 times with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 42

On to step 3:
113 divided by 42 is 2 with a remainder of 29.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 84 from 113 and we're left with 29.
Include the next digit (0) from the dividend after 29, then repeat: 290 / 42

Going ahead to step 4:
When dividing 290 by 42, we get 6 with a remainder of 38.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
If we take 252 away from 290, we end up with 38.
Fetch the next digit (1) from the dividend, attach it to 38 and continue: 381 / 42

Let's proceed to step 5:
42 goes into 381 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 269.0
The remainder is 3 after subtracting 378 from 381.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 42

On to step 6:
When dividing 33 by 42, we get 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 2690.0
Deduct 0 from 33 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
42 can be fit into 330 7 times, resulting in a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 2690.7
Deduct 294 from 330 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 8:
42 goes into 360 8 times with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 2690.78
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.

Going ahead to step 9:
42 goes into 240 5 times with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 2690.785
Deduct 210 from 240 and we're left 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.

Advancing to step 10:
300 divided by 42 is 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 2690.7857
If we subtract 294 from 300, we 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.

On to step 11:
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: 2690.78571
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
42 goes into 180 4 times with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 2690.785714
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
When dividing 120 by 42, we get 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 2690.7857142
Subtracting 84 from 120 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
42 goes into 360 8 times with a remainder of 24.
The next digit of our result is 8. 
Result so far: 2690.78571428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 2690.78571428 with a remainder of 2.4e-08.