Let's divide 157766 by 14
We want to divide 157766 by 14.

Advancing to step 1:
If we divide 1 by 14, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 14

Step 2:
The number 14 fits into 15 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 14 from 15 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 14

Moving on to step 3:
17 divided by 14 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 14 from 17 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 14

Moving on to step 4:
14 can be fit into 37 2 times, resulting in a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
Subtract 28 from 37 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 14

Moving on to step 5:
96 divided by 14 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 1126.0
The remainder is 12 after subtracting 84 from 96.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 14

On to step 6:
If we divide 126 by 14, we get 9 and a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 11269.0
Subtract 126 from 126 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
The number 14 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 11269.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
If we divide 0 by 14, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 11269.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 11269.0 with a remaining 0.0.