We're dividing 155627 by 14 
We're looking to find how many times 14 goes into 155627.

Advancing to step 1:
14 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 14

Advancing to step 2:
If we divide 15 by 14, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 14 from 15, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 14

Going ahead to step 3:
If we divide 15 by 14, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 14 from 15, we get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 14

Let's proceed to step 4:
If we divide 16 by 14, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
Subtract 14 from 16 to get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 14

On to step 5:
The number 14 fits into 22 1 times, leaving a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1111.0
The remainder is 8 after subtracting 14 from 22.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 14

Step 6:
14 goes into 87 6 times with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 11116.0
Deduct 84 from 87 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
When dividing 30 by 14, we get 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 11116.2
Subtracting 28 from 30 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 8:
If we divide 20 by 14, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 11116.21
Subtracting 14 from 20 leaves us 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.

Going ahead to step 9:
60 divided by 14 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 11116.214
Subtract 56 from 60 to get 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 10:
14 goes into 40 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 11116.2142
Subtracting 28 from 40 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.

Step 11:
120 divided by 14 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 11116.21428
Subtracting 112 from 120 leaves us with 8.
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 12:
14 goes into 80 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 11116.214285
If we subtract 70 from 80, 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.

Let's proceed to step 13:
14 goes into 100 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 11116.2142857
Subtract 98 from 100 to 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 14:
If we divide 20 by 14, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 11116.21428571
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.

After the division, we end up with 11116.21428571 and a remainder of 6e-09.