Let's divide 157338 by 14
Our goal is to divide 157338 by 14.

On to step 1:
14 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 14

Step 2:
When dividing 15 by 14, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 14 from 15, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 14

Going ahead to step 3:
17 divided by 14 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 3 after subtracting 14 from 17.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 14

On to step 4:
33 divided by 14 is 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 112.0
Subtract 28 from 33 to get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 14

On to step 5:
The number 14 fits into 53 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 1123.0
Subtract 42 from 53 to get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 14

Moving on to step 6:
If we divide 118 by 14, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 11238.0
Deduct 112 from 118 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.

Advancing to step 7:
If we divide 60 by 14, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 11238.4
Deduct 56 from 60 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.

Step 8:
If we divide 40 by 14, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 11238.42
The remainder is 12 after subtracting 28 from 40.
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 9:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 11238.428
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
When dividing 80 by 14, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 11238.4285
Subtracting 70 from 80 leaves us 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.

On to step 11:
14 can be fit into 100 7 times, resulting in a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 11238.42857
If we subtract 98 from 100, we get 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 12:
The number 14 fits into 20 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 11238.428571
Subtract 14 from 20 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.

Moving on to step 13:
60 divided by 14 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 11238.4285714
Subtracting 56 from 60 leaves us 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.

Going ahead to step 14:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 11238.42857142
If we take 28 away from 40, we end up 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.

The final outcome is 11238.42857142, with a leftover of 1.2e-08.