We're dividing 171653 by 14 
Our goal is to divide 171653 by 14.

Step 1:
If we divide 1 by 14, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 14

Let's proceed to step 2:
If we divide 17 by 14, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 14 away from 17, we end up with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 14

Step 3:
The number 14 fits into 31 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 28 from 31, we get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 14

Going ahead to step 4:
When dividing 36 by 14, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 122.0
Deduct 28 from 36 and we're left with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 14

On to step 5:
When dividing 85 by 14, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 1226.0
If we subtract 84 from 85, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 14

Step 6:
14 goes into 13 0 times with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 12260.0
If we subtract 0 from 13, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
When dividing 130 by 14, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 12260.9
The remainder is 4 after subtracting 126 from 130.
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 8:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 12260.92
Subtract 28 from 40 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.

On to step 9:
When dividing 120 by 14, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 12260.928
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.

Advancing to step 10:
14 can be fit into 80 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 12260.9285
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 11:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 12260.92857
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:
If we divide 20 by 14, we get 1 and a remainder of 6.
The next digit of our result is 1. 
Result so far: 12260.928571
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.

On to step 13:
14 goes into 60 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 12260.9285714
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.

On to step 14:
If we divide 40 by 14, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 12260.92857142
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.

The final outcome is 12260.92857142, with a leftover of 1.2e-08.