13114 ÷ 42 
We're looking to find how many times 42 goes into 13114.

On to step 1:
If we divide 1 by 42, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 42

On to step 2:
13 divided by 42 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 42

Advancing to step 3:
When dividing 131 by 42, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 126 from 131 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 42

Going ahead to step 4:
If we divide 51 by 42, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 31.0
If we subtract 42 from 51, we get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 42

Advancing to step 5:
The number 42 fits into 94 2 times, leaving a remainder of 10.
The next digit of our result is 2. 
Result so far: 312.0
If we take 84 away from 94, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 6:
When dividing 100 by 42, we get 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 312.2
Subtract 84 from 100 to 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.

Let's proceed to step 7:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 312.23
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.

Moving on to step 8:
340 divided by 42 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 312.238
Deduct 336 from 340 and we're left 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.

Advancing to step 9:
If we divide 40 by 42, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 312.238
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 10:
The number 42 fits into 400 9 times, leaving a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 312.23809
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.

Going ahead to step 11:
42 goes into 220 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 312.238095
If we subtract 210 from 220, we 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.

On to step 12:
42 goes into 100 2 times with a remainder of 16.
The next digit of our result is 2. 
Result so far: 312.2380952
Subtracting 84 from 100 leaves us with 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 13:
42 goes into 160 3 times with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 312.23809523
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.

After the division, we end up with 312.23809523 and a remainder of 3.4e-08.